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Finding the Fourth Proportional to 712.33, 984.56 and 564.71

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Solution

The fourth proportional to 712.33, 984.56 and 564.71 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 984.56 = 564.71 : x
  2. Step 2: Convert to fraction form
    712.33/984.56 = 564.71/x
  3. Step 3: Cross multiply
    712.33x = 984.56 × 564.71
  4. Step 4: Simplify right side
    712.33x = 555,983.13
  5. Step 5: Solve for x
    x = 555,983.13/712.33
  6. Step 6: Final answer
    x = 780.52

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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.