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Finding the Fourth Proportional to 615.64, 921.40 and 517.24

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Solution

The fourth proportional to 615.64, 921.40 and 517.24 is: 774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.64 : 921.40 = 517.24 : x
  2. Step 2: Convert to fraction form
    615.64/921.40 = 517.24/x
  3. Step 3: Cross multiply
    615.64x = 921.40 × 517.24
  4. Step 4: Simplify right side
    615.64x = 476,584.94
  5. Step 5: Solve for x
    x = 476,584.94/615.64
  6. Step 6: Final answer
    x = 774.13

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Why These Related Problems?

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