Home / 1,023.30-1,534.75-398.60

Finding the Fourth Proportional to 1,023.30, 1,534.75 and 398.60

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Solution

The fourth proportional to 1,023.30, 1,534.75 and 398.60 is: 597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.30 : 1,534.75 = 398.60 : x
  2. Step 2: Convert to fraction form
    1,023.30/1,534.75 = 398.60/x
  3. Step 3: Cross multiply
    1,023.30x = 1,534.75 × 398.60
  4. Step 4: Simplify right side
    1,023.30x = 611,741.68
  5. Step 5: Solve for x
    x = 611,741.68/1,023.30
  6. Step 6: Final answer
    x = 597.82

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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.