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Finding the Fourth Proportional to 611.32, 912.58 and 584.73

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Solution

The fourth proportional to 611.32, 912.58 and 584.73 is: 872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.32 : 912.58 = 584.73 : x
  2. Step 2: Convert to fraction form
    611.32/912.58 = 584.73/x
  3. Step 3: Cross multiply
    611.32x = 912.58 × 584.73
  4. Step 4: Simplify right side
    611.32x = 533,612.90
  5. Step 5: Solve for x
    x = 533,612.90/611.32
  6. Step 6: Final answer
    x = 872.89

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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.