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Finding the Fourth Proportional to 697.30, 1,047.46 and 423.52

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Solution

The fourth proportional to 697.30, 1,047.46 and 423.52 is: 636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,047.46 = 423.52 : x
  2. Step 2: Convert to fraction form
    697.30/1,047.46 = 423.52/x
  3. Step 3: Cross multiply
    697.30x = 1,047.46 × 423.52
  4. Step 4: Simplify right side
    697.30x = 443,620.26
  5. Step 5: Solve for x
    x = 443,620.26/697.30
  6. Step 6: Final answer
    x = 636.20

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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.