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Finding the Fourth Proportional to 693.88, 1,040.88 and 309.12

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Solution

The fourth proportional to 693.88, 1,040.88 and 309.12 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.88 : 1,040.88 = 309.12 : x
  2. Step 2: Convert to fraction form
    693.88/1,040.88 = 309.12/x
  3. Step 3: Cross multiply
    693.88x = 1,040.88 × 309.12
  4. Step 4: Simplify right side
    693.88x = 321,756.83
  5. Step 5: Solve for x
    x = 321,756.83/693.88
  6. Step 6: Final answer
    x = 463.71

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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.