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Finding the Fourth Proportional to 713.52, 1,062.18 and 709.20

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Solution

The fourth proportional to 713.52, 1,062.18 and 709.20 is: 1,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 1,062.18 = 709.20 : x
  2. Step 2: Convert to fraction form
    713.52/1,062.18 = 709.20/x
  3. Step 3: Cross multiply
    713.52x = 1,062.18 × 709.20
  4. Step 4: Simplify right side
    713.52x = 753,298.06
  5. Step 5: Solve for x
    x = 753,298.06/713.52
  6. Step 6: Final answer
    x = 1,055.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.