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Finding the Fourth Proportional to 624.82, 856.88 and 598.54

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Solution

The fourth proportional to 624.82, 856.88 and 598.54 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.82 : 856.88 = 598.54 : x
  2. Step 2: Convert to fraction form
    624.82/856.88 = 598.54/x
  3. Step 3: Cross multiply
    624.82x = 856.88 × 598.54
  4. Step 4: Simplify right side
    624.82x = 512,876.96
  5. Step 5: Solve for x
    x = 512,876.96/624.82
  6. Step 6: Final answer
    x = 820.84

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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.