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Finding the Fourth Proportional to 677.25, 1,016.54 and 457.17

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Solution

The fourth proportional to 677.25, 1,016.54 and 457.17 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 1,016.54 = 457.17 : x
  2. Step 2: Convert to fraction form
    677.25/1,016.54 = 457.17/x
  3. Step 3: Cross multiply
    677.25x = 1,016.54 × 457.17
  4. Step 4: Simplify right side
    677.25x = 464,729.31
  5. Step 5: Solve for x
    x = 464,729.31/677.25
  6. Step 6: Final answer
    x = 686.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.