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Finding the Fourth Proportional to 1,432.74, 2,148.81 and 406.50

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Solution

The fourth proportional to 1,432.74, 2,148.81 and 406.50 is: 609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.74 : 2,148.81 = 406.50 : x
  2. Step 2: Convert to fraction form
    1,432.74/2,148.81 = 406.50/x
  3. Step 3: Cross multiply
    1,432.74x = 2,148.81 × 406.50
  4. Step 4: Simplify right side
    1,432.74x = 873,491.27
  5. Step 5: Solve for x
    x = 873,491.27/1,432.74
  6. Step 6: Final answer
    x = 609.66

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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.