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Finding the Fourth Proportional to 697.90, 1,046.99 and 332.72

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Solution

The fourth proportional to 697.90, 1,046.99 and 332.72 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.90 : 1,046.99 = 332.72 : x
  2. Step 2: Convert to fraction form
    697.90/1,046.99 = 332.72/x
  3. Step 3: Cross multiply
    697.90x = 1,046.99 × 332.72
  4. Step 4: Simplify right side
    697.90x = 348,354.10
  5. Step 5: Solve for x
    x = 348,354.10/697.90
  6. Step 6: Final answer
    x = 499.14

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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.