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Finding the Fourth Proportional to 565.20, 851.67 and 469.80

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Solution

The fourth proportional to 565.20, 851.67 and 469.80 is: 707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 851.67 = 469.80 : x
  2. Step 2: Convert to fraction form
    565.20/851.67 = 469.80/x
  3. Step 3: Cross multiply
    565.20x = 851.67 × 469.80
  4. Step 4: Simplify right side
    565.20x = 400,114.57
  5. Step 5: Solve for x
    x = 400,114.57/565.20
  6. Step 6: Final answer
    x = 707.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.