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Finding the Fourth Proportional to 611.60, 921.96 and 559.70

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Solution

The fourth proportional to 611.60, 921.96 and 559.70 is: 843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 921.96 = 559.70 : x
  2. Step 2: Convert to fraction form
    611.60/921.96 = 559.70/x
  3. Step 3: Cross multiply
    611.60x = 921.96 × 559.70
  4. Step 4: Simplify right side
    611.60x = 516,021.01
  5. Step 5: Solve for x
    x = 516,021.01/611.60
  6. Step 6: Final answer
    x = 843.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.