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Finding the Fourth Proportional to 1,143.79, 1,715.68 and 278.09

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Solution

The fourth proportional to 1,143.79, 1,715.68 and 278.09 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.79 : 1,715.68 = 278.09 : x
  2. Step 2: Convert to fraction form
    1,143.79/1,715.68 = 278.09/x
  3. Step 3: Cross multiply
    1,143.79x = 1,715.68 × 278.09
  4. Step 4: Simplify right side
    1,143.79x = 477,112.76
  5. Step 5: Solve for x
    x = 477,112.76/1,143.79
  6. Step 6: Final answer
    x = 417.14

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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.