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Finding the Fourth Proportional to 459.36, 630.12 and 449.76

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Solution

The fourth proportional to 459.36, 630.12 and 449.76 is: 616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 630.12 = 449.76 : x
  2. Step 2: Convert to fraction form
    459.36/630.12 = 449.76/x
  3. Step 3: Cross multiply
    459.36x = 630.12 × 449.76
  4. Step 4: Simplify right side
    459.36x = 283,402.77
  5. Step 5: Solve for x
    x = 283,402.77/459.36
  6. Step 6: Final answer
    x = 616.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.