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Finding the Fourth Proportional to 1,274.32, 1,758.54 and 750.44

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Solution

The fourth proportional to 1,274.32, 1,758.54 and 750.44 is: 1,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.32 : 1,758.54 = 750.44 : x
  2. Step 2: Convert to fraction form
    1,274.32/1,758.54 = 750.44/x
  3. Step 3: Cross multiply
    1,274.32x = 1,758.54 × 750.44
  4. Step 4: Simplify right side
    1,274.32x = 1,319,678.76
  5. Step 5: Solve for x
    x = 1,319,678.76/1,274.32
  6. Step 6: Final answer
    x = 1,035.59

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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.