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Finding the Fourth Proportional to 1,115.57, 1,538.49 and 802.91

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Solution

The fourth proportional to 1,115.57, 1,538.49 and 802.91 is: 1,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.57 : 1,538.49 = 802.91 : x
  2. Step 2: Convert to fraction form
    1,115.57/1,538.49 = 802.91/x
  3. Step 3: Cross multiply
    1,115.57x = 1,538.49 × 802.91
  4. Step 4: Simplify right side
    1,115.57x = 1,235,275.86
  5. Step 5: Solve for x
    x = 1,235,275.86/1,115.57
  6. Step 6: Final answer
    x = 1,107.30

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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.