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Finding the Fourth Proportional to 541.94, 746.06 and 471.02

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Solution

The fourth proportional to 541.94, 746.06 and 471.02 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 746.06 = 471.02 : x
  2. Step 2: Convert to fraction form
    541.94/746.06 = 471.02/x
  3. Step 3: Cross multiply
    541.94x = 746.06 × 471.02
  4. Step 4: Simplify right side
    541.94x = 351,403.10
  5. Step 5: Solve for x
    x = 351,403.10/541.94
  6. Step 6: Final answer
    x = 648.42

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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.