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Finding the Fourth Proportional to 1,358.83, 2,038 and 618.27

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Solution

The fourth proportional to 1,358.83, 2,038 and 618.27 is: 927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.83 : 2,038 = 618.27 : x
  2. Step 2: Convert to fraction form
    1,358.83/2,038 = 618.27/x
  3. Step 3: Cross multiply
    1,358.83x = 2,038 × 618.27
  4. Step 4: Simplify right side
    1,358.83x = 1,260,024.07
  5. Step 5: Solve for x
    x = 1,260,024.07/1,358.83
  6. Step 6: Final answer
    x = 927.29

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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.