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Finding the Fourth Proportional to 615.02, 921.60 and 477.38

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Solution

The fourth proportional to 615.02, 921.60 and 477.38 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.02 : 921.60 = 477.38 : x
  2. Step 2: Convert to fraction form
    615.02/921.60 = 477.38/x
  3. Step 3: Cross multiply
    615.02x = 921.60 × 477.38
  4. Step 4: Simplify right side
    615.02x = 439,948.80
  5. Step 5: Solve for x
    x = 439,948.80/615.02
  6. Step 6: Final answer
    x = 715.35

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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.