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Finding the Fourth Proportional to 871.95, 1,305.99 and 596.82

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Solution

The fourth proportional to 871.95, 1,305.99 and 596.82 is: 893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,305.99 = 596.82 : x
  2. Step 2: Convert to fraction form
    871.95/1,305.99 = 596.82/x
  3. Step 3: Cross multiply
    871.95x = 1,305.99 × 596.82
  4. Step 4: Simplify right side
    871.95x = 779,440.95
  5. Step 5: Solve for x
    x = 779,440.95/871.95
  6. Step 6: Final answer
    x = 893.91

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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.