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Finding the Fourth Proportional to 627.75, 865.35 and 553.64

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Solution

The fourth proportional to 627.75, 865.35 and 553.64 is: 763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 865.35 = 553.64 : x
  2. Step 2: Convert to fraction form
    627.75/865.35 = 553.64/x
  3. Step 3: Cross multiply
    627.75x = 865.35 × 553.64
  4. Step 4: Simplify right side
    627.75x = 479,088.05
  5. Step 5: Solve for x
    x = 479,088.05/627.75
  6. Step 6: Final answer
    x = 763.18

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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.