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Finding the Fourth Proportional to 620.26, 856.88 and 434.36

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Solution

The fourth proportional to 620.26, 856.88 and 434.36 is: 600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 856.88 = 434.36 : x
  2. Step 2: Convert to fraction form
    620.26/856.88 = 434.36/x
  3. Step 3: Cross multiply
    620.26x = 856.88 × 434.36
  4. Step 4: Simplify right side
    620.26x = 372,196.00
  5. Step 5: Solve for x
    x = 372,196.00/620.26
  6. Step 6: Final answer
    x = 600.07

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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.