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Finding the Fourth Proportional to 697.56, 1,041.24 and 624.64

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Solution

The fourth proportional to 697.56, 1,041.24 and 624.64 is: 932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 1,041.24 = 624.64 : x
  2. Step 2: Convert to fraction form
    697.56/1,041.24 = 624.64/x
  3. Step 3: Cross multiply
    697.56x = 1,041.24 × 624.64
  4. Step 4: Simplify right side
    697.56x = 650,400.15
  5. Step 5: Solve for x
    x = 650,400.15/697.56
  6. Step 6: Final answer
    x = 932.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.