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Finding the Fourth Proportional to 458.51, 634.23 and 429.12

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Solution

The fourth proportional to 458.51, 634.23 and 429.12 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 634.23 = 429.12 : x
  2. Step 2: Convert to fraction form
    458.51/634.23 = 429.12/x
  3. Step 3: Cross multiply
    458.51x = 634.23 × 429.12
  4. Step 4: Simplify right side
    458.51x = 272,160.78
  5. Step 5: Solve for x
    x = 272,160.78/458.51
  6. Step 6: Final answer
    x = 593.58

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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.