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Finding the Fourth Proportional to 819, 1,129.55 and 693.59

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Solution

The fourth proportional to 819, 1,129.55 and 693.59 is: 956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819 : 1,129.55 = 693.59 : x
  2. Step 2: Convert to fraction form
    819/1,129.55 = 693.59/x
  3. Step 3: Cross multiply
    819x = 1,129.55 × 693.59
  4. Step 4: Simplify right side
    819x = 783,435.47
  5. Step 5: Solve for x
    x = 783,435.47/819
  6. Step 6: Final answer
    x = 956.58

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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.