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Finding the Fourth Proportional to 434.73, 655.03 and 359.38

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Solution

The fourth proportional to 434.73, 655.03 and 359.38 is: 541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.73 : 655.03 = 359.38 : x
  2. Step 2: Convert to fraction form
    434.73/655.03 = 359.38/x
  3. Step 3: Cross multiply
    434.73x = 655.03 × 359.38
  4. Step 4: Simplify right side
    434.73x = 235,404.68
  5. Step 5: Solve for x
    x = 235,404.68/434.73
  6. Step 6: Final answer
    x = 541.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.