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Finding the Fourth Proportional to 1,023.52, 1,538.04 and 561.64

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Solution

The fourth proportional to 1,023.52, 1,538.04 and 561.64 is: 843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.52 : 1,538.04 = 561.64 : x
  2. Step 2: Convert to fraction form
    1,023.52/1,538.04 = 561.64/x
  3. Step 3: Cross multiply
    1,023.52x = 1,538.04 × 561.64
  4. Step 4: Simplify right side
    1,023.52x = 863,824.79
  5. Step 5: Solve for x
    x = 863,824.79/1,023.52
  6. Step 6: Final answer
    x = 843.97

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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.