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Finding the Fourth Proportional to 795.61, 1,191.12 and 705.43

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Solution

The fourth proportional to 795.61, 1,191.12 and 705.43 is: 1,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.61 : 1,191.12 = 705.43 : x
  2. Step 2: Convert to fraction form
    795.61/1,191.12 = 705.43/x
  3. Step 3: Cross multiply
    795.61x = 1,191.12 × 705.43
  4. Step 4: Simplify right side
    795.61x = 840,251.78
  5. Step 5: Solve for x
    x = 840,251.78/795.61
  6. Step 6: Final answer
    x = 1,056.11

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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.