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Finding the Fourth Proportional to 814.57, 1,218.61 and 652.57

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Solution

The fourth proportional to 814.57, 1,218.61 and 652.57 is: 976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.57 : 1,218.61 = 652.57 : x
  2. Step 2: Convert to fraction form
    814.57/1,218.61 = 652.57/x
  3. Step 3: Cross multiply
    814.57x = 1,218.61 × 652.57
  4. Step 4: Simplify right side
    814.57x = 795,228.33
  5. Step 5: Solve for x
    x = 795,228.33/814.57
  6. Step 6: Final answer
    x = 976.26

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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.