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Finding the Fourth Proportional to 1,202.09, 1,658.03 and 781.67

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Solution

The fourth proportional to 1,202.09, 1,658.03 and 781.67 is: 1,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.09 : 1,658.03 = 781.67 : x
  2. Step 2: Convert to fraction form
    1,202.09/1,658.03 = 781.67/x
  3. Step 3: Cross multiply
    1,202.09x = 1,658.03 × 781.67
  4. Step 4: Simplify right side
    1,202.09x = 1,296,024.02
  5. Step 5: Solve for x
    x = 1,296,024.02/1,202.09
  6. Step 6: Final answer
    x = 1,078.14

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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.