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Finding the Fourth Proportional to 788.10, 1,182.69 and 480.06

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Solution

The fourth proportional to 788.10, 1,182.69 and 480.06 is: 720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.10 : 1,182.69 = 480.06 : x
  2. Step 2: Convert to fraction form
    788.10/1,182.69 = 480.06/x
  3. Step 3: Cross multiply
    788.10x = 1,182.69 × 480.06
  4. Step 4: Simplify right side
    788.10x = 567,762.16
  5. Step 5: Solve for x
    x = 567,762.16/788.10
  6. Step 6: Final answer
    x = 720.42

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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.