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Finding the Fourth Proportional to 707.86, 1,060.37 and 681.53

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Solution

The fourth proportional to 707.86, 1,060.37 and 681.53 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 1,060.37 = 681.53 : x
  2. Step 2: Convert to fraction form
    707.86/1,060.37 = 681.53/x
  3. Step 3: Cross multiply
    707.86x = 1,060.37 × 681.53
  4. Step 4: Simplify right side
    707.86x = 722,670.56
  5. Step 5: Solve for x
    x = 722,670.56/707.86
  6. Step 6: Final answer
    x = 1,020.93

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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.