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Finding the Fourth Proportional to 1,011.75, 1,505.90 and 989.07

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Solution

The fourth proportional to 1,011.75, 1,505.90 and 989.07 is: 1,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.75 : 1,505.90 = 989.07 : x
  2. Step 2: Convert to fraction form
    1,011.75/1,505.90 = 989.07/x
  3. Step 3: Cross multiply
    1,011.75x = 1,505.90 × 989.07
  4. Step 4: Simplify right side
    1,011.75x = 1,489,435.57
  5. Step 5: Solve for x
    x = 1,489,435.57/1,011.75
  6. Step 6: Final answer
    x = 1,472.14

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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.