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Finding the Fourth Proportional to 687.41, 948.96 and 463.40

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Solution

The fourth proportional to 687.41, 948.96 and 463.40 is: 639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.41 : 948.96 = 463.40 : x
  2. Step 2: Convert to fraction form
    687.41/948.96 = 463.40/x
  3. Step 3: Cross multiply
    687.41x = 948.96 × 463.40
  4. Step 4: Simplify right side
    687.41x = 439,748.06
  5. Step 5: Solve for x
    x = 439,748.06/687.41
  6. Step 6: Final answer
    x = 639.72

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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.