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Finding the Fourth Proportional to 1,023.69, 1,535.61 and 293.31

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Solution

The fourth proportional to 1,023.69, 1,535.61 and 293.31 is: 439.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.69 : 1,535.61 = 293.31 : x
  2. Step 2: Convert to fraction form
    1,023.69/1,535.61 = 293.31/x
  3. Step 3: Cross multiply
    1,023.69x = 1,535.61 × 293.31
  4. Step 4: Simplify right side
    1,023.69x = 450,409.77
  5. Step 5: Solve for x
    x = 450,409.77/1,023.69
  6. Step 6: Final answer
    x = 439.99

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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.