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Finding the Fourth Proportional to 680.65, 1,020.67 and 315.54

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Solution

The fourth proportional to 680.65, 1,020.67 and 315.54 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.65 : 1,020.67 = 315.54 : x
  2. Step 2: Convert to fraction form
    680.65/1,020.67 = 315.54/x
  3. Step 3: Cross multiply
    680.65x = 1,020.67 × 315.54
  4. Step 4: Simplify right side
    680.65x = 322,061.42
  5. Step 5: Solve for x
    x = 322,061.42/680.65
  6. Step 6: Final answer
    x = 473.17

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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.