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Finding the Fourth Proportional to 990.42, 1,482.08 and 729.80

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Solution

The fourth proportional to 990.42, 1,482.08 and 729.80 is: 1,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.42 : 1,482.08 = 729.80 : x
  2. Step 2: Convert to fraction form
    990.42/1,482.08 = 729.80/x
  3. Step 3: Cross multiply
    990.42x = 1,482.08 × 729.80
  4. Step 4: Simplify right side
    990.42x = 1,081,621.98
  5. Step 5: Solve for x
    x = 1,081,621.98/990.42
  6. Step 6: Final answer
    x = 1,092.08

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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.