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Finding the Fourth Proportional to 693.40, 1,040.10 and 346.78

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Solution

The fourth proportional to 693.40, 1,040.10 and 346.78 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 1,040.10 = 346.78 : x
  2. Step 2: Convert to fraction form
    693.40/1,040.10 = 346.78/x
  3. Step 3: Cross multiply
    693.40x = 1,040.10 × 346.78
  4. Step 4: Simplify right side
    693.40x = 360,685.88
  5. Step 5: Solve for x
    x = 360,685.88/693.40
  6. Step 6: Final answer
    x = 520.17

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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.