Home / 1,287.50-1,931.40-410.04

Finding the Fourth Proportional to 1,287.50, 1,931.40 and 410.04

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Solution

The fourth proportional to 1,287.50, 1,931.40 and 410.04 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.50 : 1,931.40 = 410.04 : x
  2. Step 2: Convert to fraction form
    1,287.50/1,931.40 = 410.04/x
  3. Step 3: Cross multiply
    1,287.50x = 1,931.40 × 410.04
  4. Step 4: Simplify right side
    1,287.50x = 791,951.26
  5. Step 5: Solve for x
    x = 791,951.26/1,287.50
  6. Step 6: Final answer
    x = 615.11

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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.