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Finding the Fourth Proportional to 1,862.79, 2,794.52 and 613.45

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Solution

The fourth proportional to 1,862.79, 2,794.52 and 613.45 is: 920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.79 : 2,794.52 = 613.45 : x
  2. Step 2: Convert to fraction form
    1,862.79/2,794.52 = 613.45/x
  3. Step 3: Cross multiply
    1,862.79x = 2,794.52 × 613.45
  4. Step 4: Simplify right side
    1,862.79x = 1,714,298.29
  5. Step 5: Solve for x
    x = 1,714,298.29/1,862.79
  6. Step 6: Final answer
    x = 920.29

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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.