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Finding the Fourth Proportional to 871.88, 1,307.82 and 461.32

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Solution

The fourth proportional to 871.88, 1,307.82 and 461.32 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 1,307.82 = 461.32 : x
  2. Step 2: Convert to fraction form
    871.88/1,307.82 = 461.32/x
  3. Step 3: Cross multiply
    871.88x = 1,307.82 × 461.32
  4. Step 4: Simplify right side
    871.88x = 603,323.52
  5. Step 5: Solve for x
    x = 603,323.52/871.88
  6. Step 6: Final answer
    x = 691.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.