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Finding the Fourth Proportional to 541.49, 747.63 and 506.66

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Solution

The fourth proportional to 541.49, 747.63 and 506.66 is: 699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 747.63 = 506.66 : x
  2. Step 2: Convert to fraction form
    541.49/747.63 = 506.66/x
  3. Step 3: Cross multiply
    541.49x = 747.63 × 506.66
  4. Step 4: Simplify right side
    541.49x = 378,790.48
  5. Step 5: Solve for x
    x = 378,790.48/541.49
  6. Step 6: Final answer
    x = 699.54

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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.