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Finding the Fourth Proportional to 723.83, 999.54 and 462.30

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Solution

The fourth proportional to 723.83, 999.54 and 462.30 is: 638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.83 : 999.54 = 462.30 : x
  2. Step 2: Convert to fraction form
    723.83/999.54 = 462.30/x
  3. Step 3: Cross multiply
    723.83x = 999.54 × 462.30
  4. Step 4: Simplify right side
    723.83x = 462,087.34
  5. Step 5: Solve for x
    x = 462,087.34/723.83
  6. Step 6: Final answer
    x = 638.40

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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.