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Finding the Fourth Proportional to 801.45, 1,201.23 and 710.33

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Solution

The fourth proportional to 801.45, 1,201.23 and 710.33 is: 1,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.45 : 1,201.23 = 710.33 : x
  2. Step 2: Convert to fraction form
    801.45/1,201.23 = 710.33/x
  3. Step 3: Cross multiply
    801.45x = 1,201.23 × 710.33
  4. Step 4: Simplify right side
    801.45x = 853,263.70
  5. Step 5: Solve for x
    x = 853,263.70/801.45
  6. Step 6: Final answer
    x = 1,064.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.