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Finding the Fourth Proportional to 491.20, 735.68 and 393.36

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Solution

The fourth proportional to 491.20, 735.68 and 393.36 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 735.68 = 393.36 : x
  2. Step 2: Convert to fraction form
    491.20/735.68 = 393.36/x
  3. Step 3: Cross multiply
    491.20x = 735.68 × 393.36
  4. Step 4: Simplify right side
    491.20x = 289,387.08
  5. Step 5: Solve for x
    x = 289,387.08/491.20
  6. Step 6: Final answer
    x = 589.14

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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.