Home / 1,287.60-1,931.76-410.16

Finding the Fourth Proportional to 1,287.60, 1,931.76 and 410.16

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Solution

The fourth proportional to 1,287.60, 1,931.76 and 410.16 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.60 : 1,931.76 = 410.16 : x
  2. Step 2: Convert to fraction form
    1,287.60/1,931.76 = 410.16/x
  3. Step 3: Cross multiply
    1,287.60x = 1,931.76 × 410.16
  4. Step 4: Simplify right side
    1,287.60x = 792,330.68
  5. Step 5: Solve for x
    x = 792,330.68/1,287.60
  6. Step 6: Final answer
    x = 615.35

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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.