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Finding the Fourth Proportional to 623.61, 860.68 and 475.96

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Solution

The fourth proportional to 623.61, 860.68 and 475.96 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.61 : 860.68 = 475.96 : x
  2. Step 2: Convert to fraction form
    623.61/860.68 = 475.96/x
  3. Step 3: Cross multiply
    623.61x = 860.68 × 475.96
  4. Step 4: Simplify right side
    623.61x = 409,649.25
  5. Step 5: Solve for x
    x = 409,649.25/623.61
  6. Step 6: Final answer
    x = 656.90

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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.