Home / 1,028.67-1,542.29-508.04

Finding the Fourth Proportional to 1,028.67, 1,542.29 and 508.04

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Solution

The fourth proportional to 1,028.67, 1,542.29 and 508.04 is: 761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.67 : 1,542.29 = 508.04 : x
  2. Step 2: Convert to fraction form
    1,028.67/1,542.29 = 508.04/x
  3. Step 3: Cross multiply
    1,028.67x = 1,542.29 × 508.04
  4. Step 4: Simplify right side
    1,028.67x = 783,534.76
  5. Step 5: Solve for x
    x = 783,534.76/1,028.67
  6. Step 6: Final answer
    x = 761.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.