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Finding the Fourth Proportional to 755.26, 1,041.66 and 545.40

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Solution

The fourth proportional to 755.26, 1,041.66 and 545.40 is: 752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.26 : 1,041.66 = 545.40 : x
  2. Step 2: Convert to fraction form
    755.26/1,041.66 = 545.40/x
  3. Step 3: Cross multiply
    755.26x = 1,041.66 × 545.40
  4. Step 4: Simplify right side
    755.26x = 568,121.36
  5. Step 5: Solve for x
    x = 568,121.36/755.26
  6. Step 6: Final answer
    x = 752.22

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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.