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Finding the Fourth Proportional to 627.49, 865.75 and 365.46

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Solution

The fourth proportional to 627.49, 865.75 and 365.46 is: 504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.49 : 865.75 = 365.46 : x
  2. Step 2: Convert to fraction form
    627.49/865.75 = 365.46/x
  3. Step 3: Cross multiply
    627.49x = 865.75 × 365.46
  4. Step 4: Simplify right side
    627.49x = 316,397.00
  5. Step 5: Solve for x
    x = 316,397.00/627.49
  6. Step 6: Final answer
    x = 504.23

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1.5x scale

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.