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Finding the Fourth Proportional to 561.80, 842.69 and 318.34

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Solution

The fourth proportional to 561.80, 842.69 and 318.34 is: 477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.80 : 842.69 = 318.34 : x
  2. Step 2: Convert to fraction form
    561.80/842.69 = 318.34/x
  3. Step 3: Cross multiply
    561.80x = 842.69 × 318.34
  4. Step 4: Simplify right side
    561.80x = 268,263.78
  5. Step 5: Solve for x
    x = 268,263.78/561.80
  6. Step 6: Final answer
    x = 477.51

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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.