Home / 1,032.12-1,424.36-566.38

Finding the Fourth Proportional to 1,032.12, 1,424.36 and 566.38

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Solution

The fourth proportional to 1,032.12, 1,424.36 and 566.38 is: 781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,424.36 = 566.38 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,424.36 = 566.38/x
  3. Step 3: Cross multiply
    1,032.12x = 1,424.36 × 566.38
  4. Step 4: Simplify right side
    1,032.12x = 806,729.02
  5. Step 5: Solve for x
    x = 806,729.02/1,032.12
  6. Step 6: Final answer
    x = 781.62

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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.