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Finding the Fourth Proportional to 1,032.28, 1,424.13 and 638.62

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Solution

The fourth proportional to 1,032.28, 1,424.13 and 638.62 is: 881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.28 : 1,424.13 = 638.62 : x
  2. Step 2: Convert to fraction form
    1,032.28/1,424.13 = 638.62/x
  3. Step 3: Cross multiply
    1,032.28x = 1,424.13 × 638.62
  4. Step 4: Simplify right side
    1,032.28x = 909,477.90
  5. Step 5: Solve for x
    x = 909,477.90/1,032.28
  6. Step 6: Final answer
    x = 881.04

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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.