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Finding the Fourth Proportional to 684.90, 945.09 and 463.77

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Solution

The fourth proportional to 684.90, 945.09 and 463.77 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 945.09 = 463.77 : x
  2. Step 2: Convert to fraction form
    684.90/945.09 = 463.77/x
  3. Step 3: Cross multiply
    684.90x = 945.09 × 463.77
  4. Step 4: Simplify right side
    684.90x = 438,304.39
  5. Step 5: Solve for x
    x = 438,304.39/684.90
  6. Step 6: Final answer
    x = 639.95

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Double scale
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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.