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Finding the Fourth Proportional to 611.62, 922.85 and 584.98

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Solution

The fourth proportional to 611.62, 922.85 and 584.98 is: 882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.62 : 922.85 = 584.98 : x
  2. Step 2: Convert to fraction form
    611.62/922.85 = 584.98/x
  3. Step 3: Cross multiply
    611.62x = 922.85 × 584.98
  4. Step 4: Simplify right side
    611.62x = 539,848.79
  5. Step 5: Solve for x
    x = 539,848.79/611.62
  6. Step 6: Final answer
    x = 882.65

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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.