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Finding the Fourth Proportional to 990.05, 1,482.65 and 696.83

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Solution

The fourth proportional to 990.05, 1,482.65 and 696.83 is: 1,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.05 : 1,482.65 = 696.83 : x
  2. Step 2: Convert to fraction form
    990.05/1,482.65 = 696.83/x
  3. Step 3: Cross multiply
    990.05x = 1,482.65 × 696.83
  4. Step 4: Simplify right side
    990.05x = 1,033,151.52
  5. Step 5: Solve for x
    x = 1,033,151.52/990.05
  6. Step 6: Final answer
    x = 1,043.53

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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.