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Finding the Fourth Proportional to 661.15, 993.98 and 540.29

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Solution

The fourth proportional to 661.15, 993.98 and 540.29 is: 812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.15 : 993.98 = 540.29 : x
  2. Step 2: Convert to fraction form
    661.15/993.98 = 540.29/x
  3. Step 3: Cross multiply
    661.15x = 993.98 × 540.29
  4. Step 4: Simplify right side
    661.15x = 537,034.75
  5. Step 5: Solve for x
    x = 537,034.75/661.15
  6. Step 6: Final answer
    x = 812.27

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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.