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Finding the Fourth Proportional to 565.42, 836.58 and 563.80

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Solution

The fourth proportional to 565.42, 836.58 and 563.80 is: 834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 836.58 = 563.80 : x
  2. Step 2: Convert to fraction form
    565.42/836.58 = 563.80/x
  3. Step 3: Cross multiply
    565.42x = 836.58 × 563.80
  4. Step 4: Simplify right side
    565.42x = 471,663.80
  5. Step 5: Solve for x
    x = 471,663.80/565.42
  6. Step 6: Final answer
    x = 834.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.