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Finding the Fourth Proportional to 500.50, 690.48 and 332.53

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Solution

The fourth proportional to 500.50, 690.48 and 332.53 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 690.48 = 332.53 : x
  2. Step 2: Convert to fraction form
    500.50/690.48 = 332.53/x
  3. Step 3: Cross multiply
    500.50x = 690.48 × 332.53
  4. Step 4: Simplify right side
    500.50x = 229,605.31
  5. Step 5: Solve for x
    x = 229,605.31/500.50
  6. Step 6: Final answer
    x = 458.75

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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.