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Finding the Fourth Proportional to 491.20, 733.24 and 423.16

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Solution

The fourth proportional to 491.20, 733.24 and 423.16 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 733.24 = 423.16 : x
  2. Step 2: Convert to fraction form
    491.20/733.24 = 423.16/x
  3. Step 3: Cross multiply
    491.20x = 733.24 × 423.16
  4. Step 4: Simplify right side
    491.20x = 310,277.84
  5. Step 5: Solve for x
    x = 310,277.84/491.20
  6. Step 6: Final answer
    x = 631.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.