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Finding the Fourth Proportional to 565.52, 847.87 and 277.16

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Solution

The fourth proportional to 565.52, 847.87 and 277.16 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 847.87 = 277.16 : x
  2. Step 2: Convert to fraction form
    565.52/847.87 = 277.16/x
  3. Step 3: Cross multiply
    565.52x = 847.87 × 277.16
  4. Step 4: Simplify right side
    565.52x = 234,990.72
  5. Step 5: Solve for x
    x = 234,990.72/565.52
  6. Step 6: Final answer
    x = 415.53

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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.