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Finding the Fourth Proportional to 1,593.86, 2,390.33 and 619.73

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Solution

The fourth proportional to 1,593.86, 2,390.33 and 619.73 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.86 : 2,390.33 = 619.73 : x
  2. Step 2: Convert to fraction form
    1,593.86/2,390.33 = 619.73/x
  3. Step 3: Cross multiply
    1,593.86x = 2,390.33 × 619.73
  4. Step 4: Simplify right side
    1,593.86x = 1,481,356.11
  5. Step 5: Solve for x
    x = 1,481,356.11/1,593.86
  6. Step 6: Final answer
    x = 929.41

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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.