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Finding the Fourth Proportional to 987.36, 1,480.72 and 410.40

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Solution

The fourth proportional to 987.36, 1,480.72 and 410.40 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.36 : 1,480.72 = 410.40 : x
  2. Step 2: Convert to fraction form
    987.36/1,480.72 = 410.40/x
  3. Step 3: Cross multiply
    987.36x = 1,480.72 × 410.40
  4. Step 4: Simplify right side
    987.36x = 607,687.49
  5. Step 5: Solve for x
    x = 607,687.49/987.36
  6. Step 6: Final answer
    x = 615.47

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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.