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Finding the Fourth Proportional to 680.12, 1,020.32 and 474.17

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Solution

The fourth proportional to 680.12, 1,020.32 and 474.17 is: 711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.12 : 1,020.32 = 474.17 : x
  2. Step 2: Convert to fraction form
    680.12/1,020.32 = 474.17/x
  3. Step 3: Cross multiply
    680.12x = 1,020.32 × 474.17
  4. Step 4: Simplify right side
    680.12x = 483,797.66
  5. Step 5: Solve for x
    x = 483,797.66/680.12
  6. Step 6: Final answer
    x = 711.35

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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.