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Finding the Fourth Proportional to 511.60, 763.92 and 420.48

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Solution

The fourth proportional to 511.60, 763.92 and 420.48 is: 627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 763.92 = 420.48 : x
  2. Step 2: Convert to fraction form
    511.60/763.92 = 420.48/x
  3. Step 3: Cross multiply
    511.60x = 763.92 × 420.48
  4. Step 4: Simplify right side
    511.60x = 321,213.08
  5. Step 5: Solve for x
    x = 321,213.08/511.60
  6. Step 6: Final answer
    x = 627.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.