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Finding the Fourth Proportional to 1,599.15, 2,398.54 and 444.75

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Solution

The fourth proportional to 1,599.15, 2,398.54 and 444.75 is: 667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.15 : 2,398.54 = 444.75 : x
  2. Step 2: Convert to fraction form
    1,599.15/2,398.54 = 444.75/x
  3. Step 3: Cross multiply
    1,599.15x = 2,398.54 × 444.75
  4. Step 4: Simplify right side
    1,599.15x = 1,066,750.67
  5. Step 5: Solve for x
    x = 1,066,750.67/1,599.15
  6. Step 6: Final answer
    x = 667.07

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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.