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Finding the Fourth Proportional to 1,209.57, 1,806.14 and 1,176.77

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Solution

The fourth proportional to 1,209.57, 1,806.14 and 1,176.77 is: 1,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.57 : 1,806.14 = 1,176.77 : x
  2. Step 2: Convert to fraction form
    1,209.57/1,806.14 = 1,176.77/x
  3. Step 3: Cross multiply
    1,209.57x = 1,806.14 × 1,176.77
  4. Step 4: Simplify right side
    1,209.57x = 2,125,402.34
  5. Step 5: Solve for x
    x = 2,125,402.34/1,209.57
  6. Step 6: Final answer
    x = 1,757.16

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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.