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Finding the Fourth Proportional to 850.32, 1,172.28 and 539.76

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Solution

The fourth proportional to 850.32, 1,172.28 and 539.76 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.32 : 1,172.28 = 539.76 : x
  2. Step 2: Convert to fraction form
    850.32/1,172.28 = 539.76/x
  3. Step 3: Cross multiply
    850.32x = 1,172.28 × 539.76
  4. Step 4: Simplify right side
    850.32x = 632,749.85
  5. Step 5: Solve for x
    x = 632,749.85/850.32
  6. Step 6: Final answer
    x = 744.13

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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.