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Finding the Fourth Proportional to 1,199.80, 1,798.98 and 551.08

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Solution

The fourth proportional to 1,199.80, 1,798.98 and 551.08 is: 826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.80 : 1,798.98 = 551.08 : x
  2. Step 2: Convert to fraction form
    1,199.80/1,798.98 = 551.08/x
  3. Step 3: Cross multiply
    1,199.80x = 1,798.98 × 551.08
  4. Step 4: Simplify right side
    1,199.80x = 991,381.90
  5. Step 5: Solve for x
    x = 991,381.90/1,199.80
  6. Step 6: Final answer
    x = 826.29

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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.