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Finding the Fourth Proportional to 1,255.80, 1,884.64 and 864.98

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Solution

The fourth proportional to 1,255.80, 1,884.64 and 864.98 is: 1,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.80 : 1,884.64 = 864.98 : x
  2. Step 2: Convert to fraction form
    1,255.80/1,884.64 = 864.98/x
  3. Step 3: Cross multiply
    1,255.80x = 1,884.64 × 864.98
  4. Step 4: Simplify right side
    1,255.80x = 1,630,175.91
  5. Step 5: Solve for x
    x = 1,630,175.91/1,255.80
  6. Step 6: Final answer
    x = 1,298.12

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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.