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Finding the Fourth Proportional to 870.88, 1,306.32 and 437.44

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Solution

The fourth proportional to 870.88, 1,306.32 and 437.44 is: 656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.88 : 1,306.32 = 437.44 : x
  2. Step 2: Convert to fraction form
    870.88/1,306.32 = 437.44/x
  3. Step 3: Cross multiply
    870.88x = 1,306.32 × 437.44
  4. Step 4: Simplify right side
    870.88x = 571,436.62
  5. Step 5: Solve for x
    x = 571,436.62/870.88
  6. Step 6: Final answer
    x = 656.16

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Double scale
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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.