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Finding the Fourth Proportional to 587.30, 880.89 and 154.46

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Solution

The fourth proportional to 587.30, 880.89 and 154.46 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 880.89 = 154.46 : x
  2. Step 2: Convert to fraction form
    587.30/880.89 = 154.46/x
  3. Step 3: Cross multiply
    587.30x = 880.89 × 154.46
  4. Step 4: Simplify right side
    587.30x = 136,062.27
  5. Step 5: Solve for x
    x = 136,062.27/587.30
  6. Step 6: Final answer
    x = 231.67

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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.