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Finding the Fourth Proportional to 823.88, 1,137.93 and 656.40

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Solution

The fourth proportional to 823.88, 1,137.93 and 656.40 is: 906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,137.93 = 656.40 : x
  2. Step 2: Convert to fraction form
    823.88/1,137.93 = 656.40/x
  3. Step 3: Cross multiply
    823.88x = 1,137.93 × 656.40
  4. Step 4: Simplify right side
    823.88x = 746,937.25
  5. Step 5: Solve for x
    x = 746,937.25/823.88
  6. Step 6: Final answer
    x = 906.61

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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.