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Finding the Fourth Proportional to 541.10, 745.77 and 463.34

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Solution

The fourth proportional to 541.10, 745.77 and 463.34 is: 638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.10 : 745.77 = 463.34 : x
  2. Step 2: Convert to fraction form
    541.10/745.77 = 463.34/x
  3. Step 3: Cross multiply
    541.10x = 745.77 × 463.34
  4. Step 4: Simplify right side
    541.10x = 345,548.67
  5. Step 5: Solve for x
    x = 345,548.67/541.10
  6. Step 6: Final answer
    x = 638.60

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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.