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Finding the Fourth Proportional to 870.67, 1,306.20 and 432.16

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Solution

The fourth proportional to 870.67, 1,306.20 and 432.16 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.67 : 1,306.20 = 432.16 : x
  2. Step 2: Convert to fraction form
    870.67/1,306.20 = 432.16/x
  3. Step 3: Cross multiply
    870.67x = 1,306.20 × 432.16
  4. Step 4: Simplify right side
    870.67x = 564,491.74
  5. Step 5: Solve for x
    x = 564,491.74/870.67
  6. Step 6: Final answer
    x = 648.34

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.