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Finding the Fourth Proportional to 484.98, 724.38 and 420.18

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Solution

The fourth proportional to 484.98, 724.38 and 420.18 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.98 : 724.38 = 420.18 : x
  2. Step 2: Convert to fraction form
    484.98/724.38 = 420.18/x
  3. Step 3: Cross multiply
    484.98x = 724.38 × 420.18
  4. Step 4: Simplify right side
    484.98x = 304,371.80
  5. Step 5: Solve for x
    x = 304,371.80/484.98
  6. Step 6: Final answer
    x = 627.59

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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.