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Finding the Fourth Proportional to 541.22, 807 and 531.50

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Solution

The fourth proportional to 541.22, 807 and 531.50 is: 792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 807 = 531.50 : x
  2. Step 2: Convert to fraction form
    541.22/807 = 531.50/x
  3. Step 3: Cross multiply
    541.22x = 807 × 531.50
  4. Step 4: Simplify right side
    541.22x = 428,920.50
  5. Step 5: Solve for x
    x = 428,920.50/541.22
  6. Step 6: Final answer
    x = 792.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.