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Finding the Fourth Proportional to 724.21, 999.75 and 462.39

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Solution

The fourth proportional to 724.21, 999.75 and 462.39 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 999.75 = 462.39 : x
  2. Step 2: Convert to fraction form
    724.21/999.75 = 462.39/x
  3. Step 3: Cross multiply
    724.21x = 999.75 × 462.39
  4. Step 4: Simplify right side
    724.21x = 462,274.40
  5. Step 5: Solve for x
    x = 462,274.40/724.21
  6. Step 6: Final answer
    x = 638.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.