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Finding the Fourth Proportional to 1,023.67, 1,535.67 and 293.25

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Solution

The fourth proportional to 1,023.67, 1,535.67 and 293.25 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.67 : 1,535.67 = 293.25 : x
  2. Step 2: Convert to fraction form
    1,023.67/1,535.67 = 293.25/x
  3. Step 3: Cross multiply
    1,023.67x = 1,535.67 × 293.25
  4. Step 4: Simplify right side
    1,023.67x = 450,335.23
  5. Step 5: Solve for x
    x = 450,335.23/1,023.67
  6. Step 6: Final answer
    x = 439.92

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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.