Home / 1,023.53-1,534.47-320.38

Finding the Fourth Proportional to 1,023.53, 1,534.47 and 320.38

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Solution

The fourth proportional to 1,023.53, 1,534.47 and 320.38 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.53 : 1,534.47 = 320.38 : x
  2. Step 2: Convert to fraction form
    1,023.53/1,534.47 = 320.38/x
  3. Step 3: Cross multiply
    1,023.53x = 1,534.47 × 320.38
  4. Step 4: Simplify right side
    1,023.53x = 491,608.06
  5. Step 5: Solve for x
    x = 491,608.06/1,023.53
  6. Step 6: Final answer
    x = 480.31

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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.