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Finding the Fourth Proportional to 862.38, 1,190.21 and 563.94

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Solution

The fourth proportional to 862.38, 1,190.21 and 563.94 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.38 : 1,190.21 = 563.94 : x
  2. Step 2: Convert to fraction form
    862.38/1,190.21 = 563.94/x
  3. Step 3: Cross multiply
    862.38x = 1,190.21 × 563.94
  4. Step 4: Simplify right side
    862.38x = 671,204.21
  5. Step 5: Solve for x
    x = 671,204.21/862.38
  6. Step 6: Final answer
    x = 778.32

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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.