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Finding the Fourth Proportional to 903.88, 1,349.29 and 836.25

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Solution

The fourth proportional to 903.88, 1,349.29 and 836.25 is: 1,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.88 : 1,349.29 = 836.25 : x
  2. Step 2: Convert to fraction form
    903.88/1,349.29 = 836.25/x
  3. Step 3: Cross multiply
    903.88x = 1,349.29 × 836.25
  4. Step 4: Simplify right side
    903.88x = 1,128,335.04
  5. Step 5: Solve for x
    x = 1,128,335.04/903.88
  6. Step 6: Final answer
    x = 1,248.32

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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.