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Finding the Fourth Proportional to 478.18, 714.25 and 424.42

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Solution

The fourth proportional to 478.18, 714.25 and 424.42 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.18 : 714.25 = 424.42 : x
  2. Step 2: Convert to fraction form
    478.18/714.25 = 424.42/x
  3. Step 3: Cross multiply
    478.18x = 714.25 × 424.42
  4. Step 4: Simplify right side
    478.18x = 303,141.99
  5. Step 5: Solve for x
    x = 303,141.99/478.18
  6. Step 6: Final answer
    x = 633.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.