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Finding the Fourth Proportional to 1,023.59, 1,535.36 and 446.46

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Solution

The fourth proportional to 1,023.59, 1,535.36 and 446.46 is: 669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.59 : 1,535.36 = 446.46 : x
  2. Step 2: Convert to fraction form
    1,023.59/1,535.36 = 446.46/x
  3. Step 3: Cross multiply
    1,023.59x = 1,535.36 × 446.46
  4. Step 4: Simplify right side
    1,023.59x = 685,474.59
  5. Step 5: Solve for x
    x = 685,474.59/1,023.59
  6. Step 6: Final answer
    x = 669.68

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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.