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Finding the Fourth Proportional to 562.12, 839.94 and 429.62

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Solution

The fourth proportional to 562.12, 839.94 and 429.62 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 839.94 = 429.62 : x
  2. Step 2: Convert to fraction form
    562.12/839.94 = 429.62/x
  3. Step 3: Cross multiply
    562.12x = 839.94 × 429.62
  4. Step 4: Simplify right side
    562.12x = 360,855.02
  5. Step 5: Solve for x
    x = 360,855.02/562.12
  6. Step 6: Final answer
    x = 641.95

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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.