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Finding the Fourth Proportional to 684.35, 944.14 and 421.91

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Solution

The fourth proportional to 684.35, 944.14 and 421.91 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.35 : 944.14 = 421.91 : x
  2. Step 2: Convert to fraction form
    684.35/944.14 = 421.91/x
  3. Step 3: Cross multiply
    684.35x = 944.14 × 421.91
  4. Step 4: Simplify right side
    684.35x = 398,340.00
  5. Step 5: Solve for x
    x = 398,340.00/684.35
  6. Step 6: Final answer
    x = 582.07

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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.