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Finding the Fourth Proportional to 627.70, 865.74 and 406.70

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Solution

The fourth proportional to 627.70, 865.74 and 406.70 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.70 : 865.74 = 406.70 : x
  2. Step 2: Convert to fraction form
    627.70/865.74 = 406.70/x
  3. Step 3: Cross multiply
    627.70x = 865.74 × 406.70
  4. Step 4: Simplify right side
    627.70x = 352,096.46
  5. Step 5: Solve for x
    x = 352,096.46/627.70
  6. Step 6: Final answer
    x = 560.93

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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.