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Finding the Fourth Proportional to 870.32, 1,305.87 and 432.01

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Solution

The fourth proportional to 870.32, 1,305.87 and 432.01 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.32 : 1,305.87 = 432.01 : x
  2. Step 2: Convert to fraction form
    870.32/1,305.87 = 432.01/x
  3. Step 3: Cross multiply
    870.32x = 1,305.87 × 432.01
  4. Step 4: Simplify right side
    870.32x = 564,147.67
  5. Step 5: Solve for x
    x = 564,147.67/870.32
  6. Step 6: Final answer
    x = 648.21

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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.