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Finding the Fourth Proportional to 624.56, 860.36 and 477.14

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Solution

The fourth proportional to 624.56, 860.36 and 477.14 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 860.36 = 477.14 : x
  2. Step 2: Convert to fraction form
    624.56/860.36 = 477.14/x
  3. Step 3: Cross multiply
    624.56x = 860.36 × 477.14
  4. Step 4: Simplify right side
    624.56x = 410,505.48
  5. Step 5: Solve for x
    x = 410,505.48/624.56
  6. Step 6: Final answer
    x = 657.28

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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.