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Finding the Fourth Proportional to 707.13, 1,060.14 and 219.90

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Solution

The fourth proportional to 707.13, 1,060.14 and 219.90 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.13 : 1,060.14 = 219.90 : x
  2. Step 2: Convert to fraction form
    707.13/1,060.14 = 219.90/x
  3. Step 3: Cross multiply
    707.13x = 1,060.14 × 219.90
  4. Step 4: Simplify right side
    707.13x = 233,124.79
  5. Step 5: Solve for x
    x = 233,124.79/707.13
  6. Step 6: Final answer
    x = 329.68

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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.