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Finding the Fourth Proportional to 707.53, 1,060.90 and 213.87

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Solution

The fourth proportional to 707.53, 1,060.90 and 213.87 is: 320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.53 : 1,060.90 = 213.87 : x
  2. Step 2: Convert to fraction form
    707.53/1,060.90 = 213.87/x
  3. Step 3: Cross multiply
    707.53x = 1,060.90 × 213.87
  4. Step 4: Simplify right side
    707.53x = 226,889.38
  5. Step 5: Solve for x
    x = 226,889.38/707.53
  6. Step 6: Final answer
    x = 320.68

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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.