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Finding the Fourth Proportional to 987.64, 1,482 and 410.56

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Solution

The fourth proportional to 987.64, 1,482 and 410.56 is: 616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.64 : 1,482 = 410.56 : x
  2. Step 2: Convert to fraction form
    987.64/1,482 = 410.56/x
  3. Step 3: Cross multiply
    987.64x = 1,482 × 410.56
  4. Step 4: Simplify right side
    987.64x = 608,449.92
  5. Step 5: Solve for x
    x = 608,449.92/987.64
  6. Step 6: Final answer
    x = 616.06

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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.