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Finding the Fourth Proportional to 1,256.08, 1,734 and 814.24

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Solution

The fourth proportional to 1,256.08, 1,734 and 814.24 is: 1,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.08 : 1,734 = 814.24 : x
  2. Step 2: Convert to fraction form
    1,256.08/1,734 = 814.24/x
  3. Step 3: Cross multiply
    1,256.08x = 1,734 × 814.24
  4. Step 4: Simplify right side
    1,256.08x = 1,411,892.16
  5. Step 5: Solve for x
    x = 1,411,892.16/1,256.08
  6. Step 6: Final answer
    x = 1,124.05

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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.