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Finding the Fourth Proportional to 1,330.84, 1,995.97 and 508.83

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Solution

The fourth proportional to 1,330.84, 1,995.97 and 508.83 is: 763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.84 : 1,995.97 = 508.83 : x
  2. Step 2: Convert to fraction form
    1,330.84/1,995.97 = 508.83/x
  3. Step 3: Cross multiply
    1,330.84x = 1,995.97 × 508.83
  4. Step 4: Simplify right side
    1,330.84x = 1,015,609.42
  5. Step 5: Solve for x
    x = 1,015,609.42/1,330.84
  6. Step 6: Final answer
    x = 763.13

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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.