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Finding the Fourth Proportional to 1,274.12, 1,758.15 and 714.47

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Solution

The fourth proportional to 1,274.12, 1,758.15 and 714.47 is: 985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.12 : 1,758.15 = 714.47 : x
  2. Step 2: Convert to fraction form
    1,274.12/1,758.15 = 714.47/x
  3. Step 3: Cross multiply
    1,274.12x = 1,758.15 × 714.47
  4. Step 4: Simplify right side
    1,274.12x = 1,256,151.94
  5. Step 5: Solve for x
    x = 1,256,151.94/1,274.12
  6. Step 6: Final answer
    x = 985.90

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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.