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Finding the Fourth Proportional to 862.75, 1,189.49 and 705.22

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Solution

The fourth proportional to 862.75, 1,189.49 and 705.22 is: 972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,189.49 = 705.22 : x
  2. Step 2: Convert to fraction form
    862.75/1,189.49 = 705.22/x
  3. Step 3: Cross multiply
    862.75x = 1,189.49 × 705.22
  4. Step 4: Simplify right side
    862.75x = 838,852.14
  5. Step 5: Solve for x
    x = 838,852.14/862.75
  6. Step 6: Final answer
    x = 972.30

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Double scale
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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.