Home / 1,028.28-1,531.17-1,002.16

Finding the Fourth Proportional to 1,028.28, 1,531.17 and 1,002.16

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Solution

The fourth proportional to 1,028.28, 1,531.17 and 1,002.16 is: 1,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,531.17 = 1,002.16 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,531.17 = 1,002.16/x
  3. Step 3: Cross multiply
    1,028.28x = 1,531.17 × 1,002.16
  4. Step 4: Simplify right side
    1,028.28x = 1,534,477.33
  5. Step 5: Solve for x
    x = 1,534,477.33/1,028.28
  6. Step 6: Final answer
    x = 1,492.28

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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.