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Finding the Fourth Proportional to 990.71, 1,482.98 and 731.00

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Solution

The fourth proportional to 990.71, 1,482.98 and 731.00 is: 1,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.71 : 1,482.98 = 731.00 : x
  2. Step 2: Convert to fraction form
    990.71/1,482.98 = 731.00/x
  3. Step 3: Cross multiply
    990.71x = 1,482.98 × 731.00
  4. Step 4: Simplify right side
    990.71x = 1,084,060.43
  5. Step 5: Solve for x
    x = 1,084,060.43/990.71
  6. Step 6: Final answer
    x = 1,094.23

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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.