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Finding the Fourth Proportional to 545.78, 752.73 and 335.77

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Solution

The fourth proportional to 545.78, 752.73 and 335.77 is: 463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.78 : 752.73 = 335.77 : x
  2. Step 2: Convert to fraction form
    545.78/752.73 = 335.77/x
  3. Step 3: Cross multiply
    545.78x = 752.73 × 335.77
  4. Step 4: Simplify right side
    545.78x = 252,744.15
  5. Step 5: Solve for x
    x = 252,744.15/545.78
  6. Step 6: Final answer
    x = 463.09

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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.