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Finding the Fourth Proportional to 1,432.44, 2,148.71 and 508.09

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Solution

The fourth proportional to 1,432.44, 2,148.71 and 508.09 is: 762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.44 : 2,148.71 = 508.09 : x
  2. Step 2: Convert to fraction form
    1,432.44/2,148.71 = 508.09/x
  3. Step 3: Cross multiply
    1,432.44x = 2,148.71 × 508.09
  4. Step 4: Simplify right side
    1,432.44x = 1,091,738.06
  5. Step 5: Solve for x
    x = 1,091,738.06/1,432.44
  6. Step 6: Final answer
    x = 762.15

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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.