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Finding the Fourth Proportional to 1,256.63, 1,730.10 and 1,079.24

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Solution

The fourth proportional to 1,256.63, 1,730.10 and 1,079.24 is: 1,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.63 : 1,730.10 = 1,079.24 : x
  2. Step 2: Convert to fraction form
    1,256.63/1,730.10 = 1,079.24/x
  3. Step 3: Cross multiply
    1,256.63x = 1,730.10 × 1,079.24
  4. Step 4: Simplify right side
    1,256.63x = 1,867,193.12
  5. Step 5: Solve for x
    x = 1,867,193.12/1,256.63
  6. Step 6: Final answer
    x = 1,485.87

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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.