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Finding the Fourth Proportional to 615.72, 924.33 and 307.89

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Solution

The fourth proportional to 615.72, 924.33 and 307.89 is: 462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.72 : 924.33 = 307.89 : x
  2. Step 2: Convert to fraction form
    615.72/924.33 = 307.89/x
  3. Step 3: Cross multiply
    615.72x = 924.33 × 307.89
  4. Step 4: Simplify right side
    615.72x = 284,591.96
  5. Step 5: Solve for x
    x = 284,591.96/615.72
  6. Step 6: Final answer
    x = 462.21

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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.