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Finding the Fourth Proportional to 2,424.25, 3,636.51 and 693.01

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Solution

The fourth proportional to 2,424.25, 3,636.51 and 693.01 is: 1,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.25 : 3,636.51 = 693.01 : x
  2. Step 2: Convert to fraction form
    2,424.25/3,636.51 = 693.01/x
  3. Step 3: Cross multiply
    2,424.25x = 3,636.51 × 693.01
  4. Step 4: Simplify right side
    2,424.25x = 2,520,137.80
  5. Step 5: Solve for x
    x = 2,520,137.80/2,424.25
  6. Step 6: Final answer
    x = 1,039.55

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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.