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Finding the Fourth Proportional to 877.31, 1,314.59 and 739.71

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Solution

The fourth proportional to 877.31, 1,314.59 and 739.71 is: 1,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.31 : 1,314.59 = 739.71 : x
  2. Step 2: Convert to fraction form
    877.31/1,314.59 = 739.71/x
  3. Step 3: Cross multiply
    877.31x = 1,314.59 × 739.71
  4. Step 4: Simplify right side
    877.31x = 972,415.37
  5. Step 5: Solve for x
    x = 972,415.37/877.31
  6. Step 6: Final answer
    x = 1,108.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.