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Finding the Fourth Proportional to 693.54, 1,040.69 and 539.77

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Solution

The fourth proportional to 693.54, 1,040.69 and 539.77 is: 809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.54 : 1,040.69 = 539.77 : x
  2. Step 2: Convert to fraction form
    693.54/1,040.69 = 539.77/x
  3. Step 3: Cross multiply
    693.54x = 1,040.69 × 539.77
  4. Step 4: Simplify right side
    693.54x = 561,733.24
  5. Step 5: Solve for x
    x = 561,733.24/693.54
  6. Step 6: Final answer
    x = 809.95

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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.