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Finding the Fourth Proportional to 625.68, 864 and 429.12

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Solution

The fourth proportional to 625.68, 864 and 429.12 is: 592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.68 : 864 = 429.12 : x
  2. Step 2: Convert to fraction form
    625.68/864 = 429.12/x
  3. Step 3: Cross multiply
    625.68x = 864 × 429.12
  4. Step 4: Simplify right side
    625.68x = 370,759.68
  5. Step 5: Solve for x
    x = 370,759.68/625.68
  6. Step 6: Final answer
    x = 592.57

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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.