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Finding the Fourth Proportional to 626.76, 864.12 and 429.93

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Solution

The fourth proportional to 626.76, 864.12 and 429.93 is: 592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.76 : 864.12 = 429.93 : x
  2. Step 2: Convert to fraction form
    626.76/864.12 = 429.93/x
  3. Step 3: Cross multiply
    626.76x = 864.12 × 429.93
  4. Step 4: Simplify right side
    626.76x = 371,511.11
  5. Step 5: Solve for x
    x = 371,511.11/626.76
  6. Step 6: Final answer
    x = 592.75

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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.