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Finding the Fourth Proportional to 500.70, 691.02 and 382.98

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Solution

The fourth proportional to 500.70, 691.02 and 382.98 is: 528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.70 : 691.02 = 382.98 : x
  2. Step 2: Convert to fraction form
    500.70/691.02 = 382.98/x
  3. Step 3: Cross multiply
    500.70x = 691.02 × 382.98
  4. Step 4: Simplify right side
    500.70x = 264,646.84
  5. Step 5: Solve for x
    x = 264,646.84/500.70
  6. Step 6: Final answer
    x = 528.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.