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Finding the Fourth Proportional to 1,330.47, 1,996.35 and 551.04

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Solution

The fourth proportional to 1,330.47, 1,996.35 and 551.04 is: 826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.47 : 1,996.35 = 551.04 : x
  2. Step 2: Convert to fraction form
    1,330.47/1,996.35 = 551.04/x
  3. Step 3: Cross multiply
    1,330.47x = 1,996.35 × 551.04
  4. Step 4: Simplify right side
    1,330.47x = 1,100,068.70
  5. Step 5: Solve for x
    x = 1,100,068.70/1,330.47
  6. Step 6: Final answer
    x = 826.83

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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.