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Finding the Fourth Proportional to 1,254.89, 1,730.13 and 861.23

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Solution

The fourth proportional to 1,254.89, 1,730.13 and 861.23 is: 1,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.89 : 1,730.13 = 861.23 : x
  2. Step 2: Convert to fraction form
    1,254.89/1,730.13 = 861.23/x
  3. Step 3: Cross multiply
    1,254.89x = 1,730.13 × 861.23
  4. Step 4: Simplify right side
    1,254.89x = 1,490,031.21
  5. Step 5: Solve for x
    x = 1,490,031.21/1,254.89
  6. Step 6: Final answer
    x = 1,187.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.