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Finding the Fourth Proportional to 2,424.48, 3,636.11 and 780.59

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Solution

The fourth proportional to 2,424.48, 3,636.11 and 780.59 is: 1,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.48 : 3,636.11 = 780.59 : x
  2. Step 2: Convert to fraction form
    2,424.48/3,636.11 = 780.59/x
  3. Step 3: Cross multiply
    2,424.48x = 3,636.11 × 780.59
  4. Step 4: Simplify right side
    2,424.48x = 2,838,289.02
  5. Step 5: Solve for x
    x = 2,838,289.02/2,424.48
  6. Step 6: Final answer
    x = 1,170.68

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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.