Home / 1,023.31-1,535.57-407.30

Finding the Fourth Proportional to 1,023.31, 1,535.57 and 407.30

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Solution

The fourth proportional to 1,023.31, 1,535.57 and 407.30 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.31 : 1,535.57 = 407.30 : x
  2. Step 2: Convert to fraction form
    1,023.31/1,535.57 = 407.30/x
  3. Step 3: Cross multiply
    1,023.31x = 1,535.57 × 407.30
  4. Step 4: Simplify right side
    1,023.31x = 625,435.62
  5. Step 5: Solve for x
    x = 625,435.62/1,023.31
  6. Step 6: Final answer
    x = 611.19

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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.