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Finding the Fourth Proportional to 1,061.70, 1,592.70 and 331.08

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Solution

The fourth proportional to 1,061.70, 1,592.70 and 331.08 is: 496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.70 : 1,592.70 = 331.08 : x
  2. Step 2: Convert to fraction form
    1,061.70/1,592.70 = 331.08/x
  3. Step 3: Cross multiply
    1,061.70x = 1,592.70 × 331.08
  4. Step 4: Simplify right side
    1,061.70x = 527,311.12
  5. Step 5: Solve for x
    x = 527,311.12/1,061.70
  6. Step 6: Final answer
    x = 496.67

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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.