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Finding the Fourth Proportional to 987.01, 1,480.22 and 409.75

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Solution

The fourth proportional to 987.01, 1,480.22 and 409.75 is: 614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.01 : 1,480.22 = 409.75 : x
  2. Step 2: Convert to fraction form
    987.01/1,480.22 = 409.75/x
  3. Step 3: Cross multiply
    987.01x = 1,480.22 × 409.75
  4. Step 4: Simplify right side
    987.01x = 606,518.10
  5. Step 5: Solve for x
    x = 606,518.10/987.01
  6. Step 6: Final answer
    x = 614.50

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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.