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Finding the Fourth Proportional to 457.13, 630.56 and 332.63

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Solution

The fourth proportional to 457.13, 630.56 and 332.63 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 630.56 = 332.63 : x
  2. Step 2: Convert to fraction form
    457.13/630.56 = 332.63/x
  3. Step 3: Cross multiply
    457.13x = 630.56 × 332.63
  4. Step 4: Simplify right side
    457.13x = 209,738.36
  5. Step 5: Solve for x
    x = 209,738.36/457.13
  6. Step 6: Final answer
    x = 458.82

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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.