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Finding the Fourth Proportional to 541.83, 747.22 and 501.56

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Solution

The fourth proportional to 541.83, 747.22 and 501.56 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.83 : 747.22 = 501.56 : x
  2. Step 2: Convert to fraction form
    541.83/747.22 = 501.56/x
  3. Step 3: Cross multiply
    541.83x = 747.22 × 501.56
  4. Step 4: Simplify right side
    541.83x = 374,775.66
  5. Step 5: Solve for x
    x = 374,775.66/541.83
  6. Step 6: Final answer
    x = 691.68

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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.