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Finding the Fourth Proportional to 768.48, 1,151.64 and 551.04

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Solution

The fourth proportional to 768.48, 1,151.64 and 551.04 is: 825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.48 : 1,151.64 = 551.04 : x
  2. Step 2: Convert to fraction form
    768.48/1,151.64 = 551.04/x
  3. Step 3: Cross multiply
    768.48x = 1,151.64 × 551.04
  4. Step 4: Simplify right side
    768.48x = 634,599.71
  5. Step 5: Solve for x
    x = 634,599.71/768.48
  6. Step 6: Final answer
    x = 825.79

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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.