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Finding the Fourth Proportional to 680.70, 1,020.74 and 315.59

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Solution

The fourth proportional to 680.70, 1,020.74 and 315.59 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.70 : 1,020.74 = 315.59 : x
  2. Step 2: Convert to fraction form
    680.70/1,020.74 = 315.59/x
  3. Step 3: Cross multiply
    680.70x = 1,020.74 × 315.59
  4. Step 4: Simplify right side
    680.70x = 322,133.76
  5. Step 5: Solve for x
    x = 322,133.76/680.70
  6. Step 6: Final answer
    x = 473.24

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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.