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Finding the Fourth Proportional to 1,204.96, 1,798.80 and 1,151.77

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Solution

The fourth proportional to 1,204.96, 1,798.80 and 1,151.77 is: 1,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.96 : 1,798.80 = 1,151.77 : x
  2. Step 2: Convert to fraction form
    1,204.96/1,798.80 = 1,151.77/x
  3. Step 3: Cross multiply
    1,204.96x = 1,798.80 × 1,151.77
  4. Step 4: Simplify right side
    1,204.96x = 2,071,799.38
  5. Step 5: Solve for x
    x = 2,071,799.38/1,204.96
  6. Step 6: Final answer
    x = 1,719.40

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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.