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Finding the Fourth Proportional to 871.55, 1,305.61 and 505.57

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Solution

The fourth proportional to 871.55, 1,305.61 and 505.57 is: 757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,305.61 = 505.57 : x
  2. Step 2: Convert to fraction form
    871.55/1,305.61 = 505.57/x
  3. Step 3: Cross multiply
    871.55x = 1,305.61 × 505.57
  4. Step 4: Simplify right side
    871.55x = 660,070.72
  5. Step 5: Solve for x
    x = 660,070.72/871.55
  6. Step 6: Final answer
    x = 757.35

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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.