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Finding the Fourth Proportional to 1,203.60, 1,806.55 and 656.94

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Solution

The fourth proportional to 1,203.60, 1,806.55 and 656.94 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.60 : 1,806.55 = 656.94 : x
  2. Step 2: Convert to fraction form
    1,203.60/1,806.55 = 656.94/x
  3. Step 3: Cross multiply
    1,203.60x = 1,806.55 × 656.94
  4. Step 4: Simplify right side
    1,203.60x = 1,186,793.31
  5. Step 5: Solve for x
    x = 1,186,793.31/1,203.60
  6. Step 6: Final answer
    x = 986.04

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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.