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Finding the Fourth Proportional to 819, 1,129.42 and 524.16

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Solution

The fourth proportional to 819, 1,129.42 and 524.16 is: 722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,129.42 = 524.16 : x
  2. Step 2: Convert to fraction form
    819/1,129.42 = 524.16/x
  3. Step 3: Cross multiply
    819x = 1,129.42 × 524.16
  4. Step 4: Simplify right side
    819x = 591,996.79
  5. Step 5: Solve for x
    x = 591,996.79/819
  6. Step 6: Final answer
    x = 722.83

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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.