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Finding the Fourth Proportional to 500.95, 751.98 and 398.89

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Solution

The fourth proportional to 500.95, 751.98 and 398.89 is: 598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.95 : 751.98 = 398.89 : x
  2. Step 2: Convert to fraction form
    500.95/751.98 = 398.89/x
  3. Step 3: Cross multiply
    500.95x = 751.98 × 398.89
  4. Step 4: Simplify right side
    500.95x = 299,957.30
  5. Step 5: Solve for x
    x = 299,957.30/500.95
  6. Step 6: Final answer
    x = 598.78

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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.