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Finding the Fourth Proportional to 1,145.57, 1,718.36 and 279.87

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Solution

The fourth proportional to 1,145.57, 1,718.36 and 279.87 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.57 : 1,718.36 = 279.87 : x
  2. Step 2: Convert to fraction form
    1,145.57/1,718.36 = 279.87/x
  3. Step 3: Cross multiply
    1,145.57x = 1,718.36 × 279.87
  4. Step 4: Simplify right side
    1,145.57x = 480,916.01
  5. Step 5: Solve for x
    x = 480,916.01/1,145.57
  6. Step 6: Final answer
    x = 419.81

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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.