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Finding the Fourth Proportional to 686.75, 947.21 and 465.62

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Solution

The fourth proportional to 686.75, 947.21 and 465.62 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 947.21 = 465.62 : x
  2. Step 2: Convert to fraction form
    686.75/947.21 = 465.62/x
  3. Step 3: Cross multiply
    686.75x = 947.21 × 465.62
  4. Step 4: Simplify right side
    686.75x = 441,032.86
  5. Step 5: Solve for x
    x = 441,032.86/686.75
  6. Step 6: Final answer
    x = 642.21

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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.