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Finding the Fourth Proportional to 684.91, 945.22 and 390.20

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Solution

The fourth proportional to 684.91, 945.22 and 390.20 is: 538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.91 : 945.22 = 390.20 : x
  2. Step 2: Convert to fraction form
    684.91/945.22 = 390.20/x
  3. Step 3: Cross multiply
    684.91x = 945.22 × 390.20
  4. Step 4: Simplify right side
    684.91x = 368,824.84
  5. Step 5: Solve for x
    x = 368,824.84/684.91
  6. Step 6: Final answer
    x = 538.50

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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.