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Finding the Fourth Proportional to 1,488.31, 2,230.76 and 563.29

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Solution

The fourth proportional to 1,488.31, 2,230.76 and 563.29 is: 844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.31 : 2,230.76 = 563.29 : x
  2. Step 2: Convert to fraction form
    1,488.31/2,230.76 = 563.29/x
  3. Step 3: Cross multiply
    1,488.31x = 2,230.76 × 563.29
  4. Step 4: Simplify right side
    1,488.31x = 1,256,560.63
  5. Step 5: Solve for x
    x = 1,256,560.63/1,488.31
  6. Step 6: Final answer
    x = 844.29

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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.