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Finding the Fourth Proportional to 725.50, 999.79 and 463.06

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Solution

The fourth proportional to 725.50, 999.79 and 463.06 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.50 : 999.79 = 463.06 : x
  2. Step 2: Convert to fraction form
    725.50/999.79 = 463.06/x
  3. Step 3: Cross multiply
    725.50x = 999.79 × 463.06
  4. Step 4: Simplify right side
    725.50x = 462,962.76
  5. Step 5: Solve for x
    x = 462,962.76/725.50
  6. Step 6: Final answer
    x = 638.13

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Double scale
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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.