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Finding the Fourth Proportional to 620.66, 856.43 and 358.63

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Solution

The fourth proportional to 620.66, 856.43 and 358.63 is: 494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.66 : 856.43 = 358.63 : x
  2. Step 2: Convert to fraction form
    620.66/856.43 = 358.63/x
  3. Step 3: Cross multiply
    620.66x = 856.43 × 358.63
  4. Step 4: Simplify right side
    620.66x = 307,135.42
  5. Step 5: Solve for x
    x = 307,135.42/620.66
  6. Step 6: Final answer
    x = 494.85

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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.