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Finding the Fourth Proportional to 565.80, 847.42 and 553.64

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Solution

The fourth proportional to 565.80, 847.42 and 553.64 is: 829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 847.42 = 553.64 : x
  2. Step 2: Convert to fraction form
    565.80/847.42 = 553.64/x
  3. Step 3: Cross multiply
    565.80x = 847.42 × 553.64
  4. Step 4: Simplify right side
    565.80x = 469,165.61
  5. Step 5: Solve for x
    x = 469,165.61/565.80
  6. Step 6: Final answer
    x = 829.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.