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Finding the Fourth Proportional to 1,033.64, 1,543.09 and 990.44

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Solution

The fourth proportional to 1,033.64, 1,543.09 and 990.44 is: 1,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.64 : 1,543.09 = 990.44 : x
  2. Step 2: Convert to fraction form
    1,033.64/1,543.09 = 990.44/x
  3. Step 3: Cross multiply
    1,033.64x = 1,543.09 × 990.44
  4. Step 4: Simplify right side
    1,033.64x = 1,528,338.06
  5. Step 5: Solve for x
    x = 1,528,338.06/1,033.64
  6. Step 6: Final answer
    x = 1,478.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.