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Finding the Fourth Proportional to 685.83, 1,027.55 and 540.51

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Solution

The fourth proportional to 685.83, 1,027.55 and 540.51 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.83 : 1,027.55 = 540.51 : x
  2. Step 2: Convert to fraction form
    685.83/1,027.55 = 540.51/x
  3. Step 3: Cross multiply
    685.83x = 1,027.55 × 540.51
  4. Step 4: Simplify right side
    685.83x = 555,401.05
  5. Step 5: Solve for x
    x = 555,401.05/685.83
  6. Step 6: Final answer
    x = 809.82

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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.