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Finding the Fourth Proportional to 620.45, 856.19 and 340.68

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Solution

The fourth proportional to 620.45, 856.19 and 340.68 is: 470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.45 : 856.19 = 340.68 : x
  2. Step 2: Convert to fraction form
    620.45/856.19 = 340.68/x
  3. Step 3: Cross multiply
    620.45x = 856.19 × 340.68
  4. Step 4: Simplify right side
    620.45x = 291,686.81
  5. Step 5: Solve for x
    x = 291,686.81/620.45
  6. Step 6: Final answer
    x = 470.12

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Half scale
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Double scale
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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.