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Finding the Fourth Proportional to 781.24, 1,166.72 and 695.13

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Solution

The fourth proportional to 781.24, 1,166.72 and 695.13 is: 1,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,166.72 = 695.13 : x
  2. Step 2: Convert to fraction form
    781.24/1,166.72 = 695.13/x
  3. Step 3: Cross multiply
    781.24x = 1,166.72 × 695.13
  4. Step 4: Simplify right side
    781.24x = 811,022.07
  5. Step 5: Solve for x
    x = 811,022.07/781.24
  6. Step 6: Final answer
    x = 1,038.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.