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Finding the Fourth Proportional to 707.82, 1,061.36 and 296.88

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Solution

The fourth proportional to 707.82, 1,061.36 and 296.88 is: 445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 1,061.36 = 296.88 : x
  2. Step 2: Convert to fraction form
    707.82/1,061.36 = 296.88/x
  3. Step 3: Cross multiply
    707.82x = 1,061.36 × 296.88
  4. Step 4: Simplify right side
    707.82x = 315,096.56
  5. Step 5: Solve for x
    x = 315,096.56/707.82
  6. Step 6: Final answer
    x = 445.16

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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.