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Finding the Fourth Proportional to 808.40, 1,206.66 and 781.36

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Solution

The fourth proportional to 808.40, 1,206.66 and 781.36 is: 1,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.40 : 1,206.66 = 781.36 : x
  2. Step 2: Convert to fraction form
    808.40/1,206.66 = 781.36/x
  3. Step 3: Cross multiply
    808.40x = 1,206.66 × 781.36
  4. Step 4: Simplify right side
    808.40x = 942,835.86
  5. Step 5: Solve for x
    x = 942,835.86/808.40
  6. Step 6: Final answer
    x = 1,166.30

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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.