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Finding the Fourth Proportional to 656.19, 984.49 and 381.70

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Solution

The fourth proportional to 656.19, 984.49 and 381.70 is: 572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 984.49 = 381.70 : x
  2. Step 2: Convert to fraction form
    656.19/984.49 = 381.70/x
  3. Step 3: Cross multiply
    656.19x = 984.49 × 381.70
  4. Step 4: Simplify right side
    656.19x = 375,779.83
  5. Step 5: Solve for x
    x = 375,779.83/656.19
  6. Step 6: Final answer
    x = 572.67

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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.