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Finding the Fourth Proportional to 620.30, 856.16 and 358.46

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Solution

The fourth proportional to 620.30, 856.16 and 358.46 is: 494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 856.16 = 358.46 : x
  2. Step 2: Convert to fraction form
    620.30/856.16 = 358.46/x
  3. Step 3: Cross multiply
    620.30x = 856.16 × 358.46
  4. Step 4: Simplify right side
    620.30x = 306,904.43
  5. Step 5: Solve for x
    x = 306,904.43/620.30
  6. Step 6: Final answer
    x = 494.77

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1.5x scale

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.