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Finding the Fourth Proportional to 869, 1,302.36 and 452.72

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Solution

The fourth proportional to 869, 1,302.36 and 452.72 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,302.36 = 452.72 : x
  2. Step 2: Convert to fraction form
    869/1,302.36 = 452.72/x
  3. Step 3: Cross multiply
    869x = 1,302.36 × 452.72
  4. Step 4: Simplify right side
    869x = 589,604.42
  5. Step 5: Solve for x
    x = 589,604.42/869
  6. Step 6: Final answer
    x = 678.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.