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Finding the Fourth Proportional to 916.66, 1,264.12 and 585.19

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Solution

The fourth proportional to 916.66, 1,264.12 and 585.19 is: 807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.66 : 1,264.12 = 585.19 : x
  2. Step 2: Convert to fraction form
    916.66/1,264.12 = 585.19/x
  3. Step 3: Cross multiply
    916.66x = 1,264.12 × 585.19
  4. Step 4: Simplify right side
    916.66x = 739,750.38
  5. Step 5: Solve for x
    x = 739,750.38/916.66
  6. Step 6: Final answer
    x = 807.01

Related Problems

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Half scale
Find fourth proportional to 1,833.32, 2,528.24 and 1,170.38
Double scale
Find fourth proportional to 917.66, 1,265.50 and 586.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.