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Finding the Fourth Proportional to 1,653.62, 2,282.10 and 990.50

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Solution

The fourth proportional to 1,653.62, 2,282.10 and 990.50 is: 1,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.62 : 2,282.10 = 990.50 : x
  2. Step 2: Convert to fraction form
    1,653.62/2,282.10 = 990.50/x
  3. Step 3: Cross multiply
    1,653.62x = 2,282.10 × 990.50
  4. Step 4: Simplify right side
    1,653.62x = 2,260,420.05
  5. Step 5: Solve for x
    x = 2,260,420.05/1,653.62
  6. Step 6: Final answer
    x = 1,366.95

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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.