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Finding the Fourth Proportional to 624.86, 862.32 and 345.12

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Solution

The fourth proportional to 624.86, 862.32 and 345.12 is: 476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.86 : 862.32 = 345.12 : x
  2. Step 2: Convert to fraction form
    624.86/862.32 = 345.12/x
  3. Step 3: Cross multiply
    624.86x = 862.32 × 345.12
  4. Step 4: Simplify right side
    624.86x = 297,603.88
  5. Step 5: Solve for x
    x = 297,603.88/624.86
  6. Step 6: Final answer
    x = 476.28

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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.