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Finding the Fourth Proportional to 555.96, 765.98 and 369.12

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Solution

The fourth proportional to 555.96, 765.98 and 369.12 is: 508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 765.98 = 369.12 : x
  2. Step 2: Convert to fraction form
    555.96/765.98 = 369.12/x
  3. Step 3: Cross multiply
    555.96x = 765.98 × 369.12
  4. Step 4: Simplify right side
    555.96x = 282,738.54
  5. Step 5: Solve for x
    x = 282,738.54/555.96
  6. Step 6: Final answer
    x = 508.56

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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.