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Finding the Fourth Proportional to 805.25, 1,108.67 and 701.70

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Solution

The fourth proportional to 805.25, 1,108.67 and 701.70 is: 966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.25 : 1,108.67 = 701.70 : x
  2. Step 2: Convert to fraction form
    805.25/1,108.67 = 701.70/x
  3. Step 3: Cross multiply
    805.25x = 1,108.67 × 701.70
  4. Step 4: Simplify right side
    805.25x = 777,950.23
  5. Step 5: Solve for x
    x = 777,950.23/805.25
  6. Step 6: Final answer
    x = 966.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.