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Finding the Fourth Proportional to 1,347.28, 1,859.20 and 749.76

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Solution

The fourth proportional to 1,347.28, 1,859.20 and 749.76 is: 1,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.28 : 1,859.20 = 749.76 : x
  2. Step 2: Convert to fraction form
    1,347.28/1,859.20 = 749.76/x
  3. Step 3: Cross multiply
    1,347.28x = 1,859.20 × 749.76
  4. Step 4: Simplify right side
    1,347.28x = 1,393,953.79
  5. Step 5: Solve for x
    x = 1,393,953.79/1,347.28
  6. Step 6: Final answer
    x = 1,034.64

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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.