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Finding the Fourth Proportional to 602.20, 907.12 and 565.76

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Solution

The fourth proportional to 602.20, 907.12 and 565.76 is: 852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 907.12 = 565.76 : x
  2. Step 2: Convert to fraction form
    602.20/907.12 = 565.76/x
  3. Step 3: Cross multiply
    602.20x = 907.12 × 565.76
  4. Step 4: Simplify right side
    602.20x = 513,212.21
  5. Step 5: Solve for x
    x = 513,212.21/602.20
  6. Step 6: Final answer
    x = 852.23

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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.