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Finding the Fourth Proportional to 755.56, 1,041.79 and 708.86

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Solution

The fourth proportional to 755.56, 1,041.79 and 708.86 is: 977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.56 : 1,041.79 = 708.86 : x
  2. Step 2: Convert to fraction form
    755.56/1,041.79 = 708.86/x
  3. Step 3: Cross multiply
    755.56x = 1,041.79 × 708.86
  4. Step 4: Simplify right side
    755.56x = 738,476.28
  5. Step 5: Solve for x
    x = 738,476.28/755.56
  6. Step 6: Final answer
    x = 977.39

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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.