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Finding the Fourth Proportional to 717.82, 1,074.68 and 562.30

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Solution

The fourth proportional to 717.82, 1,074.68 and 562.30 is: 841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.82 : 1,074.68 = 562.30 : x
  2. Step 2: Convert to fraction form
    717.82/1,074.68 = 562.30/x
  3. Step 3: Cross multiply
    717.82x = 1,074.68 × 562.30
  4. Step 4: Simplify right side
    717.82x = 604,292.56
  5. Step 5: Solve for x
    x = 604,292.56/717.82
  6. Step 6: Final answer
    x = 841.84

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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.