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Finding the Fourth Proportional to 624.89, 862.34 and 345.12

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Solution

The fourth proportional to 624.89, 862.34 and 345.12 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 862.34 = 345.12 : x
  2. Step 2: Convert to fraction form
    624.89/862.34 = 345.12/x
  3. Step 3: Cross multiply
    624.89x = 862.34 × 345.12
  4. Step 4: Simplify right side
    624.89x = 297,606.47
  5. Step 5: Solve for x
    x = 297,606.47/624.89
  6. Step 6: Final answer
    x = 476.26

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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.