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Finding the Fourth Proportional to 491.50, 735.89 and 318.36

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Solution

The fourth proportional to 491.50, 735.89 and 318.36 is: 476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 735.89 = 318.36 : x
  2. Step 2: Convert to fraction form
    491.50/735.89 = 318.36/x
  3. Step 3: Cross multiply
    491.50x = 735.89 × 318.36
  4. Step 4: Simplify right side
    491.50x = 234,279.11
  5. Step 5: Solve for x
    x = 234,279.11/491.50
  6. Step 6: Final answer
    x = 476.66

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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.