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Finding the Fourth Proportional to 697.57, 1,047.81 and 437.89

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Solution

The fourth proportional to 697.57, 1,047.81 and 437.89 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 1,047.81 = 437.89 : x
  2. Step 2: Convert to fraction form
    697.57/1,047.81 = 437.89/x
  3. Step 3: Cross multiply
    697.57x = 1,047.81 × 437.89
  4. Step 4: Simplify right side
    697.57x = 458,825.52
  5. Step 5: Solve for x
    x = 458,825.52/697.57
  6. Step 6: Final answer
    x = 657.75

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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.