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Finding the Fourth Proportional to 755.20, 1,126.40 and 686.08

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Solution

The fourth proportional to 755.20, 1,126.40 and 686.08 is: 1,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.20 : 1,126.40 = 686.08 : x
  2. Step 2: Convert to fraction form
    755.20/1,126.40 = 686.08/x
  3. Step 3: Cross multiply
    755.20x = 1,126.40 × 686.08
  4. Step 4: Simplify right side
    755.20x = 772,800.51
  5. Step 5: Solve for x
    x = 772,800.51/755.20
  6. Step 6: Final answer
    x = 1,023.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.