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Finding the Fourth Proportional to 1,520.37, 2,278.53 and 545.54

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Solution

The fourth proportional to 1,520.37, 2,278.53 and 545.54 is: 817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.37 : 2,278.53 = 545.54 : x
  2. Step 2: Convert to fraction form
    1,520.37/2,278.53 = 545.54/x
  3. Step 3: Cross multiply
    1,520.37x = 2,278.53 × 545.54
  4. Step 4: Simplify right side
    1,520.37x = 1,243,017.86
  5. Step 5: Solve for x
    x = 1,243,017.86/1,520.37
  6. Step 6: Final answer
    x = 817.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.