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Finding the Fourth Proportional to 541.59, 747.73 and 355.35

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Solution

The fourth proportional to 541.59, 747.73 and 355.35 is: 490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.59 : 747.73 = 355.35 : x
  2. Step 2: Convert to fraction form
    541.59/747.73 = 355.35/x
  3. Step 3: Cross multiply
    541.59x = 747.73 × 355.35
  4. Step 4: Simplify right side
    541.59x = 265,705.86
  5. Step 5: Solve for x
    x = 265,705.86/541.59
  6. Step 6: Final answer
    x = 490.60

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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.