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Finding the Fourth Proportional to 871.43, 1,202.36 and 530.73

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Solution

The fourth proportional to 871.43, 1,202.36 and 530.73 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,202.36 = 530.73 : x
  2. Step 2: Convert to fraction form
    871.43/1,202.36 = 530.73/x
  3. Step 3: Cross multiply
    871.43x = 1,202.36 × 530.73
  4. Step 4: Simplify right side
    871.43x = 638,125.87
  5. Step 5: Solve for x
    x = 638,125.87/871.43
  6. Step 6: Final answer
    x = 732.28

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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.