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Finding the Fourth Proportional to 1,330.25, 1,995.39 and 508.56

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Solution

The fourth proportional to 1,330.25, 1,995.39 and 508.56 is: 762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.25 : 1,995.39 = 508.56 : x
  2. Step 2: Convert to fraction form
    1,330.25/1,995.39 = 508.56/x
  3. Step 3: Cross multiply
    1,330.25x = 1,995.39 × 508.56
  4. Step 4: Simplify right side
    1,330.25x = 1,014,773.63
  5. Step 5: Solve for x
    x = 1,014,773.63/1,330.25
  6. Step 6: Final answer
    x = 762.85

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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.