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Finding the Fourth Proportional to 624.86, 862.26 and 345.10

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Solution

The fourth proportional to 624.86, 862.26 and 345.10 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.86 : 862.26 = 345.10 : x
  2. Step 2: Convert to fraction form
    624.86/862.26 = 345.10/x
  3. Step 3: Cross multiply
    624.86x = 862.26 × 345.10
  4. Step 4: Simplify right side
    624.86x = 297,565.93
  5. Step 5: Solve for x
    x = 297,565.93/624.86
  6. Step 6: Final answer
    x = 476.21

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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.