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Finding the Fourth Proportional to 478.93, 714.59 and 397.93

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Solution

The fourth proportional to 478.93, 714.59 and 397.93 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.93 : 714.59 = 397.93 : x
  2. Step 2: Convert to fraction form
    478.93/714.59 = 397.93/x
  3. Step 3: Cross multiply
    478.93x = 714.59 × 397.93
  4. Step 4: Simplify right side
    478.93x = 284,356.80
  5. Step 5: Solve for x
    x = 284,356.80/478.93
  6. Step 6: Final answer
    x = 593.73

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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.