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Finding the Fourth Proportional to 1,257.95, 1,887.66 and 527.47

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Solution

The fourth proportional to 1,257.95, 1,887.66 and 527.47 is: 791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.95 : 1,887.66 = 527.47 : x
  2. Step 2: Convert to fraction form
    1,257.95/1,887.66 = 527.47/x
  3. Step 3: Cross multiply
    1,257.95x = 1,887.66 × 527.47
  4. Step 4: Simplify right side
    1,257.95x = 995,684.02
  5. Step 5: Solve for x
    x = 995,684.02/1,257.95
  6. Step 6: Final answer
    x = 791.51

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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.