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Finding the Fourth Proportional to 872.34, 1,203.78 and 536.37

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Solution

The fourth proportional to 872.34, 1,203.78 and 536.37 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.34 : 1,203.78 = 536.37 : x
  2. Step 2: Convert to fraction form
    872.34/1,203.78 = 536.37/x
  3. Step 3: Cross multiply
    872.34x = 1,203.78 × 536.37
  4. Step 4: Simplify right side
    872.34x = 645,671.48
  5. Step 5: Solve for x
    x = 645,671.48/872.34
  6. Step 6: Final answer
    x = 740.16

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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.