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Finding the Fourth Proportional to 687.42, 947.97 and 463.41

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Solution

The fourth proportional to 687.42, 947.97 and 463.41 is: 639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.42 : 947.97 = 463.41 : x
  2. Step 2: Convert to fraction form
    687.42/947.97 = 463.41/x
  3. Step 3: Cross multiply
    687.42x = 947.97 × 463.41
  4. Step 4: Simplify right side
    687.42x = 439,298.78
  5. Step 5: Solve for x
    x = 439,298.78/687.42
  6. Step 6: Final answer
    x = 639.05

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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.