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Finding the Fourth Proportional to 871.71, 1,202.93 and 512.79

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Solution

The fourth proportional to 871.71, 1,202.93 and 512.79 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.71 : 1,202.93 = 512.79 : x
  2. Step 2: Convert to fraction form
    871.71/1,202.93 = 512.79/x
  3. Step 3: Cross multiply
    871.71x = 1,202.93 × 512.79
  4. Step 4: Simplify right side
    871.71x = 616,854.34
  5. Step 5: Solve for x
    x = 616,854.34/871.71
  6. Step 6: Final answer
    x = 707.64

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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.