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Finding the Fourth Proportional to 1,087.45, 1,637.06 and 990.57

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Solution

The fourth proportional to 1,087.45, 1,637.06 and 990.57 is: 1,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.45 : 1,637.06 = 990.57 : x
  2. Step 2: Convert to fraction form
    1,087.45/1,637.06 = 990.57/x
  3. Step 3: Cross multiply
    1,087.45x = 1,637.06 × 990.57
  4. Step 4: Simplify right side
    1,087.45x = 1,621,622.52
  5. Step 5: Solve for x
    x = 1,621,622.52/1,087.45
  6. Step 6: Final answer
    x = 1,491.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.