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Finding the Fourth Proportional to 870.91, 1,202.15 and 521.59

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Solution

The fourth proportional to 870.91, 1,202.15 and 521.59 is: 719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.91 : 1,202.15 = 521.59 : x
  2. Step 2: Convert to fraction form
    870.91/1,202.15 = 521.59/x
  3. Step 3: Cross multiply
    870.91x = 1,202.15 × 521.59
  4. Step 4: Simplify right side
    870.91x = 627,029.42
  5. Step 5: Solve for x
    x = 627,029.42/870.91
  6. Step 6: Final answer
    x = 719.97

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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.