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Finding the Fourth Proportional to 903.38, 1,352.10 and 685.76

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Solution

The fourth proportional to 903.38, 1,352.10 and 685.76 is: 1,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.38 : 1,352.10 = 685.76 : x
  2. Step 2: Convert to fraction form
    903.38/1,352.10 = 685.76/x
  3. Step 3: Cross multiply
    903.38x = 1,352.10 × 685.76
  4. Step 4: Simplify right side
    903.38x = 927,216.10
  5. Step 5: Solve for x
    x = 927,216.10/903.38
  6. Step 6: Final answer
    x = 1,026.39

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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.