Home / 1,023.27-1,535.78-407.41

Finding the Fourth Proportional to 1,023.27, 1,535.78 and 407.41

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Solution

The fourth proportional to 1,023.27, 1,535.78 and 407.41 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.27 : 1,535.78 = 407.41 : x
  2. Step 2: Convert to fraction form
    1,023.27/1,535.78 = 407.41/x
  3. Step 3: Cross multiply
    1,023.27x = 1,535.78 × 407.41
  4. Step 4: Simplify right side
    1,023.27x = 625,692.13
  5. Step 5: Solve for x
    x = 625,692.13/1,023.27
  6. Step 6: Final answer
    x = 611.46

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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.