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Finding the Fourth Proportional to 977.55, 1,469.70 and 843.90

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Solution

The fourth proportional to 977.55, 1,469.70 and 843.90 is: 1,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.55 : 1,469.70 = 843.90 : x
  2. Step 2: Convert to fraction form
    977.55/1,469.70 = 843.90/x
  3. Step 3: Cross multiply
    977.55x = 1,469.70 × 843.90
  4. Step 4: Simplify right side
    977.55x = 1,240,279.83
  5. Step 5: Solve for x
    x = 1,240,279.83/977.55
  6. Step 6: Final answer
    x = 1,268.76

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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.