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Finding the Fourth Proportional to 1,028.33, 1,532.72 and 969.95

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Solution

The fourth proportional to 1,028.33, 1,532.72 and 969.95 is: 1,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.33 : 1,532.72 = 969.95 : x
  2. Step 2: Convert to fraction form
    1,028.33/1,532.72 = 969.95/x
  3. Step 3: Cross multiply
    1,028.33x = 1,532.72 × 969.95
  4. Step 4: Simplify right side
    1,028.33x = 1,486,649.25
  5. Step 5: Solve for x
    x = 1,486,649.25/1,028.33
  6. Step 6: Final answer
    x = 1,445.70

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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.