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Finding the Fourth Proportional to 591, 816 and 480.30

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Solution

The fourth proportional to 591, 816 and 480.30 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 816 = 480.30 : x
  2. Step 2: Convert to fraction form
    591/816 = 480.30/x
  3. Step 3: Cross multiply
    591x = 816 × 480.30
  4. Step 4: Simplify right side
    591x = 391,924.80
  5. Step 5: Solve for x
    x = 391,924.80/591
  6. Step 6: Final answer
    x = 663.16

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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.