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Finding the Fourth Proportional to 987.93, 1,364.22 and 656.28

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Solution

The fourth proportional to 987.93, 1,364.22 and 656.28 is: 906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.93 : 1,364.22 = 656.28 : x
  2. Step 2: Convert to fraction form
    987.93/1,364.22 = 656.28/x
  3. Step 3: Cross multiply
    987.93x = 1,364.22 × 656.28
  4. Step 4: Simplify right side
    987.93x = 895,310.30
  5. Step 5: Solve for x
    x = 895,310.30/987.93
  6. Step 6: Final answer
    x = 906.25

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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.