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Finding the Fourth Proportional to 565.77, 844.56 and 489.23

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Solution

The fourth proportional to 565.77, 844.56 and 489.23 is: 730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.77 : 844.56 = 489.23 : x
  2. Step 2: Convert to fraction form
    565.77/844.56 = 489.23/x
  3. Step 3: Cross multiply
    565.77x = 844.56 × 489.23
  4. Step 4: Simplify right side
    565.77x = 413,179.87
  5. Step 5: Solve for x
    x = 413,179.87/565.77
  6. Step 6: Final answer
    x = 730.30

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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.