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Finding the Fourth Proportional to 862.85, 1,189.62 and 705.33

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Solution

The fourth proportional to 862.85, 1,189.62 and 705.33 is: 972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.85 : 1,189.62 = 705.33 : x
  2. Step 2: Convert to fraction form
    862.85/1,189.62 = 705.33/x
  3. Step 3: Cross multiply
    862.85x = 1,189.62 × 705.33
  4. Step 4: Simplify right side
    862.85x = 839,074.67
  5. Step 5: Solve for x
    x = 839,074.67/862.85
  6. Step 6: Final answer
    x = 972.44

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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.