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Finding the Fourth Proportional to 1,653.63, 2,281.87 and 990.03

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Solution

The fourth proportional to 1,653.63, 2,281.87 and 990.03 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.63 : 2,281.87 = 990.03 : x
  2. Step 2: Convert to fraction form
    1,653.63/2,281.87 = 990.03/x
  3. Step 3: Cross multiply
    1,653.63x = 2,281.87 × 990.03
  4. Step 4: Simplify right side
    1,653.63x = 2,259,119.76
  5. Step 5: Solve for x
    x = 2,259,119.76/1,653.63
  6. Step 6: Final answer
    x = 1,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.