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Finding the Fourth Proportional to 691.19, 952.53 and 494.36

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Solution

The fourth proportional to 691.19, 952.53 and 494.36 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.19 : 952.53 = 494.36 : x
  2. Step 2: Convert to fraction form
    691.19/952.53 = 494.36/x
  3. Step 3: Cross multiply
    691.19x = 952.53 × 494.36
  4. Step 4: Simplify right side
    691.19x = 470,892.73
  5. Step 5: Solve for x
    x = 470,892.73/691.19
  6. Step 6: Final answer
    x = 681.28

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