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Finding the Fourth Proportional to 681.15, 1,018.20 and 506.19

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Solution

The fourth proportional to 681.15, 1,018.20 and 506.19 is: 756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.15 : 1,018.20 = 506.19 : x
  2. Step 2: Convert to fraction form
    681.15/1,018.20 = 506.19/x
  3. Step 3: Cross multiply
    681.15x = 1,018.20 × 506.19
  4. Step 4: Simplify right side
    681.15x = 515,402.66
  5. Step 5: Solve for x
    x = 515,402.66/681.15
  6. Step 6: Final answer
    x = 756.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.