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Finding the Fourth Proportional to 1,230.15, 1,696.47 and 916.20

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Solution

The fourth proportional to 1,230.15, 1,696.47 and 916.20 is: 1,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.15 : 1,696.47 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,230.15/1,696.47 = 916.20/x
  3. Step 3: Cross multiply
    1,230.15x = 1,696.47 × 916.20
  4. Step 4: Simplify right side
    1,230.15x = 1,554,305.81
  5. Step 5: Solve for x
    x = 1,554,305.81/1,230.15
  6. Step 6: Final answer
    x = 1,263.51

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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.