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Finding the Fourth Proportional to 500.98, 750.66 and 397.72

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Solution

The fourth proportional to 500.98, 750.66 and 397.72 is: 595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 750.66 = 397.72 : x
  2. Step 2: Convert to fraction form
    500.98/750.66 = 397.72/x
  3. Step 3: Cross multiply
    500.98x = 750.66 × 397.72
  4. Step 4: Simplify right side
    500.98x = 298,552.50
  5. Step 5: Solve for x
    x = 298,552.50/500.98
  6. Step 6: Final answer
    x = 595.94

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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.