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Finding the Fourth Proportional to 491.39, 735.79 and 384.80

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Solution

The fourth proportional to 491.39, 735.79 and 384.80 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.39 : 735.79 = 384.80 : x
  2. Step 2: Convert to fraction form
    491.39/735.79 = 384.80/x
  3. Step 3: Cross multiply
    491.39x = 735.79 × 384.80
  4. Step 4: Simplify right side
    491.39x = 283,127.35
  5. Step 5: Solve for x
    x = 283,127.35/491.39
  6. Step 6: Final answer
    x = 576.17

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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.