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Finding the Fourth Proportional to 725.52, 1,005.30 and 716.16

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Solution

The fourth proportional to 725.52, 1,005.30 and 716.16 is: 992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,005.30 = 716.16 : x
  2. Step 2: Convert to fraction form
    725.52/1,005.30 = 716.16/x
  3. Step 3: Cross multiply
    725.52x = 1,005.30 × 716.16
  4. Step 4: Simplify right side
    725.52x = 719,955.65
  5. Step 5: Solve for x
    x = 719,955.65/725.52
  6. Step 6: Final answer
    x = 992.33

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.