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Finding the Fourth Proportional to 565.25, 842.58 and 534.47

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Solution

The fourth proportional to 565.25, 842.58 and 534.47 is: 796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.25 : 842.58 = 534.47 : x
  2. Step 2: Convert to fraction form
    565.25/842.58 = 534.47/x
  3. Step 3: Cross multiply
    565.25x = 842.58 × 534.47
  4. Step 4: Simplify right side
    565.25x = 450,329.52
  5. Step 5: Solve for x
    x = 450,329.52/565.25
  6. Step 6: Final answer
    x = 796.70

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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.