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Finding the Fourth Proportional to 1,275.78, 1,760.61 and 716.35

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Solution

The fourth proportional to 1,275.78, 1,760.61 and 716.35 is: 988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.78 : 1,760.61 = 716.35 : x
  2. Step 2: Convert to fraction form
    1,275.78/1,760.61 = 716.35/x
  3. Step 3: Cross multiply
    1,275.78x = 1,760.61 × 716.35
  4. Step 4: Simplify right side
    1,275.78x = 1,261,211.26
  5. Step 5: Solve for x
    x = 1,261,211.26/1,275.78
  6. Step 6: Final answer
    x = 988.58

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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.