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Finding the Fourth Proportional to 1,032.84, 1,424.22 and 928.34

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Solution

The fourth proportional to 1,032.84, 1,424.22 and 928.34 is: 1,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.84 : 1,424.22 = 928.34 : x
  2. Step 2: Convert to fraction form
    1,032.84/1,424.22 = 928.34/x
  3. Step 3: Cross multiply
    1,032.84x = 1,424.22 × 928.34
  4. Step 4: Simplify right side
    1,032.84x = 1,322,160.39
  5. Step 5: Solve for x
    x = 1,322,160.39/1,032.84
  6. Step 6: Final answer
    x = 1,280.12

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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.