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Finding the Fourth Proportional to 1,273.47, 1,757.45 and 713.91

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Solution

The fourth proportional to 1,273.47, 1,757.45 and 713.91 is: 985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.47 : 1,757.45 = 713.91 : x
  2. Step 2: Convert to fraction form
    1,273.47/1,757.45 = 713.91/x
  3. Step 3: Cross multiply
    1,273.47x = 1,757.45 × 713.91
  4. Step 4: Simplify right side
    1,273.47x = 1,254,665.49
  5. Step 5: Solve for x
    x = 1,254,665.49/1,273.47
  6. Step 6: Final answer
    x = 985.23

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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.