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Finding the Fourth Proportional to 687.41, 947.49 and 465.96

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Solution

The fourth proportional to 687.41, 947.49 and 465.96 is: 642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.41 : 947.49 = 465.96 : x
  2. Step 2: Convert to fraction form
    687.41/947.49 = 465.96/x
  3. Step 3: Cross multiply
    687.41x = 947.49 × 465.96
  4. Step 4: Simplify right side
    687.41x = 441,492.44
  5. Step 5: Solve for x
    x = 441,492.44/687.41
  6. Step 6: Final answer
    x = 642.26

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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.