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Finding the Fourth Proportional to 457, 681.34 and 429.46

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Solution

The fourth proportional to 457, 681.34 and 429.46 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 681.34 = 429.46 : x
  2. Step 2: Convert to fraction form
    457/681.34 = 429.46/x
  3. Step 3: Cross multiply
    457x = 681.34 × 429.46
  4. Step 4: Simplify right side
    457x = 292,608.28
  5. Step 5: Solve for x
    x = 292,608.28/457
  6. Step 6: Final answer
    x = 640.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.