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Finding the Fourth Proportional to 611.34, 844.14 and 401.70

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Solution

The fourth proportional to 611.34, 844.14 and 401.70 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 844.14 = 401.70 : x
  2. Step 2: Convert to fraction form
    611.34/844.14 = 401.70/x
  3. Step 3: Cross multiply
    611.34x = 844.14 × 401.70
  4. Step 4: Simplify right side
    611.34x = 339,091.04
  5. Step 5: Solve for x
    x = 339,091.04/611.34
  6. Step 6: Final answer
    x = 554.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.