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Finding the Fourth Proportional to 500.26, 688.69 and 375.71

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Solution

The fourth proportional to 500.26, 688.69 and 375.71 is: 517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.26 : 688.69 = 375.71 : x
  2. Step 2: Convert to fraction form
    500.26/688.69 = 375.71/x
  3. Step 3: Cross multiply
    500.26x = 688.69 × 375.71
  4. Step 4: Simplify right side
    500.26x = 258,747.72
  5. Step 5: Solve for x
    x = 258,747.72/500.26
  6. Step 6: Final answer
    x = 517.23

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1.5x scale

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.