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Finding the Fourth Proportional to 1,352.13, 1,865.97 and 880.26

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Solution

The fourth proportional to 1,352.13, 1,865.97 and 880.26 is: 1,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.13 : 1,865.97 = 880.26 : x
  2. Step 2: Convert to fraction form
    1,352.13/1,865.97 = 880.26/x
  3. Step 3: Cross multiply
    1,352.13x = 1,865.97 × 880.26
  4. Step 4: Simplify right side
    1,352.13x = 1,642,538.75
  5. Step 5: Solve for x
    x = 1,642,538.75/1,352.13
  6. Step 6: Final answer
    x = 1,214.78

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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.