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Finding the Fourth Proportional to 1,576.99, 2,365.47 and 422.74

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Solution

The fourth proportional to 1,576.99, 2,365.47 and 422.74 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.99 : 2,365.47 = 422.74 : x
  2. Step 2: Convert to fraction form
    1,576.99/2,365.47 = 422.74/x
  3. Step 3: Cross multiply
    1,576.99x = 2,365.47 × 422.74
  4. Step 4: Simplify right side
    1,576.99x = 999,978.79
  5. Step 5: Solve for x
    x = 999,978.79/1,576.99
  6. Step 6: Final answer
    x = 634.11

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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.