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Finding the Fourth Proportional to 903.88, 1,354.95 and 739.71

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Solution

The fourth proportional to 903.88, 1,354.95 and 739.71 is: 1,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.88 : 1,354.95 = 739.71 : x
  2. Step 2: Convert to fraction form
    903.88/1,354.95 = 739.71/x
  3. Step 3: Cross multiply
    903.88x = 1,354.95 × 739.71
  4. Step 4: Simplify right side
    903.88x = 1,002,268.33
  5. Step 5: Solve for x
    x = 1,002,268.33/903.88
  6. Step 6: Final answer
    x = 1,108.85

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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.