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Finding the Fourth Proportional to 565.65, 842.17 and 562.90

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Solution

The fourth proportional to 565.65, 842.17 and 562.90 is: 838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 842.17 = 562.90 : x
  2. Step 2: Convert to fraction form
    565.65/842.17 = 562.90/x
  3. Step 3: Cross multiply
    565.65x = 842.17 × 562.90
  4. Step 4: Simplify right side
    565.65x = 474,057.49
  5. Step 5: Solve for x
    x = 474,057.49/565.65
  6. Step 6: Final answer
    x = 838.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.