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Finding the Fourth Proportional to 565.81, 843.16 and 547.23

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Solution

The fourth proportional to 565.81, 843.16 and 547.23 is: 815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.81 : 843.16 = 547.23 : x
  2. Step 2: Convert to fraction form
    565.81/843.16 = 547.23/x
  3. Step 3: Cross multiply
    565.81x = 843.16 × 547.23
  4. Step 4: Simplify right side
    565.81x = 461,402.90
  5. Step 5: Solve for x
    x = 461,402.90/565.81
  6. Step 6: Final answer
    x = 815.47

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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.