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Finding the Fourth Proportional to 1,254.39, 1,881.23 and 791.47

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Solution

The fourth proportional to 1,254.39, 1,881.23 and 791.47 is: 1,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.39 : 1,881.23 = 791.47 : x
  2. Step 2: Convert to fraction form
    1,254.39/1,881.23 = 791.47/x
  3. Step 3: Cross multiply
    1,254.39x = 1,881.23 × 791.47
  4. Step 4: Simplify right side
    1,254.39x = 1,488,935.50
  5. Step 5: Solve for x
    x = 1,488,935.50/1,254.39
  6. Step 6: Final answer
    x = 1,186.98

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1.5x scale

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.