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Finding the Fourth Proportional to 1,815.86, 2,722.62 and 583.17

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Solution

The fourth proportional to 1,815.86, 2,722.62 and 583.17 is: 874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.86 : 2,722.62 = 583.17 : x
  2. Step 2: Convert to fraction form
    1,815.86/2,722.62 = 583.17/x
  3. Step 3: Cross multiply
    1,815.86x = 2,722.62 × 583.17
  4. Step 4: Simplify right side
    1,815.86x = 1,587,750.31
  5. Step 5: Solve for x
    x = 1,587,750.31/1,815.86
  6. Step 6: Final answer
    x = 874.38

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1.5x scale

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.