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Finding the Fourth Proportional to 1,145.15, 1,717.73 and 279.47

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Solution

The fourth proportional to 1,145.15, 1,717.73 and 279.47 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.15 : 1,717.73 = 279.47 : x
  2. Step 2: Convert to fraction form
    1,145.15/1,717.73 = 279.47/x
  3. Step 3: Cross multiply
    1,145.15x = 1,717.73 × 279.47
  4. Step 4: Simplify right side
    1,145.15x = 480,044.72
  5. Step 5: Solve for x
    x = 480,044.72/1,145.15
  6. Step 6: Final answer
    x = 419.20

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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.