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Finding the Fourth Proportional to 903.84, 1,246.98 and 820.68

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Solution

The fourth proportional to 903.84, 1,246.98 and 820.68 is: 1,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.84 : 1,246.98 = 820.68 : x
  2. Step 2: Convert to fraction form
    903.84/1,246.98 = 820.68/x
  3. Step 3: Cross multiply
    903.84x = 1,246.98 × 820.68
  4. Step 4: Simplify right side
    903.84x = 1,023,371.55
  5. Step 5: Solve for x
    x = 1,023,371.55/903.84
  6. Step 6: Final answer
    x = 1,132.25

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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.