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Finding the Fourth Proportional to 1,026.20, 1,539 and 332.71

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Solution

The fourth proportional to 1,026.20, 1,539 and 332.71 is: 498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.20 : 1,539 = 332.71 : x
  2. Step 2: Convert to fraction form
    1,026.20/1,539 = 332.71/x
  3. Step 3: Cross multiply
    1,026.20x = 1,539 × 332.71
  4. Step 4: Simplify right side
    1,026.20x = 512,036.84
  5. Step 5: Solve for x
    x = 512,036.84/1,026.20
  6. Step 6: Final answer
    x = 498.96

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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.