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Finding the Fourth Proportional to 630.72, 944.36 and 456.88

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Solution

The fourth proportional to 630.72, 944.36 and 456.88 is: 684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 944.36 = 456.88 : x
  2. Step 2: Convert to fraction form
    630.72/944.36 = 456.88/x
  3. Step 3: Cross multiply
    630.72x = 944.36 × 456.88
  4. Step 4: Simplify right side
    630.72x = 431,459.20
  5. Step 5: Solve for x
    x = 431,459.20/630.72
  6. Step 6: Final answer
    x = 684.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.