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Finding the Fourth Proportional to 1,010.68, 1,393.86 and 661

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Solution

The fourth proportional to 1,010.68, 1,393.86 and 661 is: 911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.68 : 1,393.86 = 661 : x
  2. Step 2: Convert to fraction form
    1,010.68/1,393.86 = 661/x
  3. Step 3: Cross multiply
    1,010.68x = 1,393.86 × 661
  4. Step 4: Simplify right side
    1,010.68x = 921,341.46
  5. Step 5: Solve for x
    x = 921,341.46/1,010.68
  6. Step 6: Final answer
    x = 911.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.