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Finding the Fourth Proportional to 1,010.10, 1,393.01 and 660.98

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Solution

The fourth proportional to 1,010.10, 1,393.01 and 660.98 is: 911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.10 : 1,393.01 = 660.98 : x
  2. Step 2: Convert to fraction form
    1,010.10/1,393.01 = 660.98/x
  3. Step 3: Cross multiply
    1,010.10x = 1,393.01 × 660.98
  4. Step 4: Simplify right side
    1,010.10x = 920,751.75
  5. Step 5: Solve for x
    x = 920,751.75/1,010.10
  6. Step 6: Final answer
    x = 911.55

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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.