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Finding the Fourth Proportional to 912, 1,257.84 and 617.64

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Solution

The fourth proportional to 912, 1,257.84 and 617.64 is: 851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,257.84 = 617.64 : x
  2. Step 2: Convert to fraction form
    912/1,257.84 = 617.64/x
  3. Step 3: Cross multiply
    912x = 1,257.84 × 617.64
  4. Step 4: Simplify right side
    912x = 776,892.30
  5. Step 5: Solve for x
    x = 776,892.30/912
  6. Step 6: Final answer
    x = 851.86

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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.