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Finding the Fourth Proportional to 1,587.87, 2,378.43 and 816.75

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Solution

The fourth proportional to 1,587.87, 2,378.43 and 816.75 is: 1,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.87 : 2,378.43 = 816.75 : x
  2. Step 2: Convert to fraction form
    1,587.87/2,378.43 = 816.75/x
  3. Step 3: Cross multiply
    1,587.87x = 2,378.43 × 816.75
  4. Step 4: Simplify right side
    1,587.87x = 1,942,582.70
  5. Step 5: Solve for x
    x = 1,942,582.70/1,587.87
  6. Step 6: Final answer
    x = 1,223.39

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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.