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Finding the Fourth Proportional to 869.56, 1,200.19 and 533.56

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Solution

The fourth proportional to 869.56, 1,200.19 and 533.56 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,200.19 = 533.56 : x
  2. Step 2: Convert to fraction form
    869.56/1,200.19 = 533.56/x
  3. Step 3: Cross multiply
    869.56x = 1,200.19 × 533.56
  4. Step 4: Simplify right side
    869.56x = 640,373.38
  5. Step 5: Solve for x
    x = 640,373.38/869.56
  6. Step 6: Final answer
    x = 736.43

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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.