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Finding the Fourth Proportional to 1,202.06, 1,656.20 and 808.40

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Solution

The fourth proportional to 1,202.06, 1,656.20 and 808.40 is: 1,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.06 : 1,656.20 = 808.40 : x
  2. Step 2: Convert to fraction form
    1,202.06/1,656.20 = 808.40/x
  3. Step 3: Cross multiply
    1,202.06x = 1,656.20 × 808.40
  4. Step 4: Simplify right side
    1,202.06x = 1,338,859.76
  5. Step 5: Solve for x
    x = 1,338,859.76/1,202.06
  6. Step 6: Final answer
    x = 1,113.81

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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.