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Finding the Fourth Proportional to 562.69, 842.81 and 425.80

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Solution

The fourth proportional to 562.69, 842.81 and 425.80 is: 637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 842.81 = 425.80 : x
  2. Step 2: Convert to fraction form
    562.69/842.81 = 425.80/x
  3. Step 3: Cross multiply
    562.69x = 842.81 × 425.80
  4. Step 4: Simplify right side
    562.69x = 358,867.46
  5. Step 5: Solve for x
    x = 358,867.46/562.69
  6. Step 6: Final answer
    x = 637.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.