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Finding the Fourth Proportional to 620.50, 856.08 and 358.42

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Solution

The fourth proportional to 620.50, 856.08 and 358.42 is: 494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 856.08 = 358.42 : x
  2. Step 2: Convert to fraction form
    620.50/856.08 = 358.42/x
  3. Step 3: Cross multiply
    620.50x = 856.08 × 358.42
  4. Step 4: Simplify right side
    620.50x = 306,836.19
  5. Step 5: Solve for x
    x = 306,836.19/620.50
  6. Step 6: Final answer
    x = 494.50

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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.