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Finding the Fourth Proportional to 611.56, 912.11 and 589.96

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Solution

The fourth proportional to 611.56, 912.11 and 589.96 is: 879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.56 : 912.11 = 589.96 : x
  2. Step 2: Convert to fraction form
    611.56/912.11 = 589.96/x
  3. Step 3: Cross multiply
    611.56x = 912.11 × 589.96
  4. Step 4: Simplify right side
    611.56x = 538,108.42
  5. Step 5: Solve for x
    x = 538,108.42/611.56
  6. Step 6: Final answer
    x = 879.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.