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Finding the Fourth Proportional to 680.34, 1,020.63 and 248.10

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Solution

The fourth proportional to 680.34, 1,020.63 and 248.10 is: 372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,020.63 = 248.10 : x
  2. Step 2: Convert to fraction form
    680.34/1,020.63 = 248.10/x
  3. Step 3: Cross multiply
    680.34x = 1,020.63 × 248.10
  4. Step 4: Simplify right side
    680.34x = 253,218.30
  5. Step 5: Solve for x
    x = 253,218.30/680.34
  6. Step 6: Final answer
    x = 372.19

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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.