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Finding the Fourth Proportional to 621.10, 856.61 and 434.36

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Solution

The fourth proportional to 621.10, 856.61 and 434.36 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.10 : 856.61 = 434.36 : x
  2. Step 2: Convert to fraction form
    621.10/856.61 = 434.36/x
  3. Step 3: Cross multiply
    621.10x = 856.61 × 434.36
  4. Step 4: Simplify right side
    621.10x = 372,078.72
  5. Step 5: Solve for x
    x = 372,078.72/621.10
  6. Step 6: Final answer
    x = 599.06

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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.