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Finding the Fourth Proportional to 707.57, 1,061.42 and 220.49

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Solution

The fourth proportional to 707.57, 1,061.42 and 220.49 is: 330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.57 : 1,061.42 = 220.49 : x
  2. Step 2: Convert to fraction form
    707.57/1,061.42 = 220.49/x
  3. Step 3: Cross multiply
    707.57x = 1,061.42 × 220.49
  4. Step 4: Simplify right side
    707.57x = 234,032.50
  5. Step 5: Solve for x
    x = 234,032.50/707.57
  6. Step 6: Final answer
    x = 330.76

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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.