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Finding the Fourth Proportional to 624.78, 856.36 and 623.74

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Solution

The fourth proportional to 624.78, 856.36 and 623.74 is: 854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.78 : 856.36 = 623.74 : x
  2. Step 2: Convert to fraction form
    624.78/856.36 = 623.74/x
  3. Step 3: Cross multiply
    624.78x = 856.36 × 623.74
  4. Step 4: Simplify right side
    624.78x = 534,145.99
  5. Step 5: Solve for x
    x = 534,145.99/624.78
  6. Step 6: Final answer
    x = 854.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.