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Finding the Fourth Proportional to 1,116.66, 1,540.31 and 718.19

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Solution

The fourth proportional to 1,116.66, 1,540.31 and 718.19 is: 990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.66 : 1,540.31 = 718.19 : x
  2. Step 2: Convert to fraction form
    1,116.66/1,540.31 = 718.19/x
  3. Step 3: Cross multiply
    1,116.66x = 1,540.31 × 718.19
  4. Step 4: Simplify right side
    1,116.66x = 1,106,235.24
  5. Step 5: Solve for x
    x = 1,106,235.24/1,116.66
  6. Step 6: Final answer
    x = 990.66

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Half scale
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Double scale
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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.