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Finding the Fourth Proportional to 627.30, 865.53 and 365.18

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Solution

The fourth proportional to 627.30, 865.53 and 365.18 is: 503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 865.53 = 365.18 : x
  2. Step 2: Convert to fraction form
    627.30/865.53 = 365.18/x
  3. Step 3: Cross multiply
    627.30x = 865.53 × 365.18
  4. Step 4: Simplify right side
    627.30x = 316,069.92
  5. Step 5: Solve for x
    x = 316,069.92/627.30
  6. Step 6: Final answer
    x = 503.86

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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.