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Finding the Fourth Proportional to 478.68, 714.99 and 424.92

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Solution

The fourth proportional to 478.68, 714.99 and 424.92 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 714.99 = 424.92 : x
  2. Step 2: Convert to fraction form
    478.68/714.99 = 424.92/x
  3. Step 3: Cross multiply
    478.68x = 714.99 × 424.92
  4. Step 4: Simplify right side
    478.68x = 303,813.55
  5. Step 5: Solve for x
    x = 303,813.55/478.68
  6. Step 6: Final answer
    x = 634.69

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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.