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Finding the Fourth Proportional to 1,010.56, 1,392.05 and 961.36

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Solution

The fourth proportional to 1,010.56, 1,392.05 and 961.36 is: 1,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.56 : 1,392.05 = 961.36 : x
  2. Step 2: Convert to fraction form
    1,010.56/1,392.05 = 961.36/x
  3. Step 3: Cross multiply
    1,010.56x = 1,392.05 × 961.36
  4. Step 4: Simplify right side
    1,010.56x = 1,338,261.19
  5. Step 5: Solve for x
    x = 1,338,261.19/1,010.56
  6. Step 6: Final answer
    x = 1,324.28

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1.5x scale

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.