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Finding the Fourth Proportional to 615.81, 924.21 and 307.92

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Solution

The fourth proportional to 615.81, 924.21 and 307.92 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.81 : 924.21 = 307.92 : x
  2. Step 2: Convert to fraction form
    615.81/924.21 = 307.92/x
  3. Step 3: Cross multiply
    615.81x = 924.21 × 307.92
  4. Step 4: Simplify right side
    615.81x = 284,582.74
  5. Step 5: Solve for x
    x = 284,582.74/615.81
  6. Step 6: Final answer
    x = 462.13

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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.