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Finding the Fourth Proportional to 615.68, 922.64 and 421.76

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Solution

The fourth proportional to 615.68, 922.64 and 421.76 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.68 : 922.64 = 421.76 : x
  2. Step 2: Convert to fraction form
    615.68/922.64 = 421.76/x
  3. Step 3: Cross multiply
    615.68x = 922.64 × 421.76
  4. Step 4: Simplify right side
    615.68x = 389,132.65
  5. Step 5: Solve for x
    x = 389,132.65/615.68
  6. Step 6: Final answer
    x = 632.04

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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.