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Finding the Fourth Proportional to 500.52, 689.06 and 431.08

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Solution

The fourth proportional to 500.52, 689.06 and 431.08 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 689.06 = 431.08 : x
  2. Step 2: Convert to fraction form
    500.52/689.06 = 431.08/x
  3. Step 3: Cross multiply
    500.52x = 689.06 × 431.08
  4. Step 4: Simplify right side
    500.52x = 297,039.98
  5. Step 5: Solve for x
    x = 297,039.98/500.52
  6. Step 6: Final answer
    x = 593.46

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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.