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Finding the Fourth Proportional to 871.82, 1,307.74 and 735.74

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Solution

The fourth proportional to 871.82, 1,307.74 and 735.74 is: 1,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.82 : 1,307.74 = 735.74 : x
  2. Step 2: Convert to fraction form
    871.82/1,307.74 = 735.74/x
  3. Step 3: Cross multiply
    871.82x = 1,307.74 × 735.74
  4. Step 4: Simplify right side
    871.82x = 962,156.63
  5. Step 5: Solve for x
    x = 962,156.63/871.82
  6. Step 6: Final answer
    x = 1,103.62

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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.