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Finding the Fourth Proportional to 457.52, 632.27 and 339.59

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Solution

The fourth proportional to 457.52, 632.27 and 339.59 is: 469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 632.27 = 339.59 : x
  2. Step 2: Convert to fraction form
    457.52/632.27 = 339.59/x
  3. Step 3: Cross multiply
    457.52x = 632.27 × 339.59
  4. Step 4: Simplify right side
    457.52x = 214,715.00
  5. Step 5: Solve for x
    x = 214,715.00/457.52
  6. Step 6: Final answer
    x = 469.31

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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.