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Finding the Fourth Proportional to 707.55, 1,060.57 and 268.60

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Solution

The fourth proportional to 707.55, 1,060.57 and 268.60 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 1,060.57 = 268.60 : x
  2. Step 2: Convert to fraction form
    707.55/1,060.57 = 268.60/x
  3. Step 3: Cross multiply
    707.55x = 1,060.57 × 268.60
  4. Step 4: Simplify right side
    707.55x = 284,869.10
  5. Step 5: Solve for x
    x = 284,869.10/707.55
  6. Step 6: Final answer
    x = 402.61

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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.