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Finding the Fourth Proportional to 901.45, 1,352.18 and 511.57

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Solution

The fourth proportional to 901.45, 1,352.18 and 511.57 is: 767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.45 : 1,352.18 = 511.57 : x
  2. Step 2: Convert to fraction form
    901.45/1,352.18 = 511.57/x
  3. Step 3: Cross multiply
    901.45x = 1,352.18 × 511.57
  4. Step 4: Simplify right side
    901.45x = 691,734.72
  5. Step 5: Solve for x
    x = 691,734.72/901.45
  6. Step 6: Final answer
    x = 767.36

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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.