Home / 1,023.06-1,535.25-475.50

Finding the Fourth Proportional to 1,023.06, 1,535.25 and 475.50

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Solution

The fourth proportional to 1,023.06, 1,535.25 and 475.50 is: 713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.06 : 1,535.25 = 475.50 : x
  2. Step 2: Convert to fraction form
    1,023.06/1,535.25 = 475.50/x
  3. Step 3: Cross multiply
    1,023.06x = 1,535.25 × 475.50
  4. Step 4: Simplify right side
    1,023.06x = 730,011.38
  5. Step 5: Solve for x
    x = 730,011.38/1,023.06
  6. Step 6: Final answer
    x = 713.56

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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.