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Finding the Fourth Proportional to 541.46, 745.32 and 471.12

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Solution

The fourth proportional to 541.46, 745.32 and 471.12 is: 648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 745.32 = 471.12 : x
  2. Step 2: Convert to fraction form
    541.46/745.32 = 471.12/x
  3. Step 3: Cross multiply
    541.46x = 745.32 × 471.12
  4. Step 4: Simplify right side
    541.46x = 351,135.16
  5. Step 5: Solve for x
    x = 351,135.16/541.46
  6. Step 6: Final answer
    x = 648.50

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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.