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Finding the Fourth Proportional to 684.94, 945.30 and 463.90

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Solution

The fourth proportional to 684.94, 945.30 and 463.90 is: 640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 945.30 = 463.90 : x
  2. Step 2: Convert to fraction form
    684.94/945.30 = 463.90/x
  3. Step 3: Cross multiply
    684.94x = 945.30 × 463.90
  4. Step 4: Simplify right side
    684.94x = 438,524.67
  5. Step 5: Solve for x
    x = 438,524.67/684.94
  6. Step 6: Final answer
    x = 640.24

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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.