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Finding the Fourth Proportional to 986.49, 1,476.05 and 895.32

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Solution

The fourth proportional to 986.49, 1,476.05 and 895.32 is: 1,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.49 : 1,476.05 = 895.32 : x
  2. Step 2: Convert to fraction form
    986.49/1,476.05 = 895.32/x
  3. Step 3: Cross multiply
    986.49x = 1,476.05 × 895.32
  4. Step 4: Simplify right side
    986.49x = 1,321,532.61
  5. Step 5: Solve for x
    x = 1,321,532.61/986.49
  6. Step 6: Final answer
    x = 1,339.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.