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Finding the Fourth Proportional to 1,023.71, 1,535.54 and 446.59

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Solution

The fourth proportional to 1,023.71, 1,535.54 and 446.59 is: 669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.71 : 1,535.54 = 446.59 : x
  2. Step 2: Convert to fraction form
    1,023.71/1,535.54 = 446.59/x
  3. Step 3: Cross multiply
    1,023.71x = 1,535.54 × 446.59
  4. Step 4: Simplify right side
    1,023.71x = 685,749.13
  5. Step 5: Solve for x
    x = 685,749.13/1,023.71
  6. Step 6: Final answer
    x = 669.87

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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.