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Finding the Fourth Proportional to 686.37, 947.11 and 465.40

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Solution

The fourth proportional to 686.37, 947.11 and 465.40 is: 642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.37 : 947.11 = 465.40 : x
  2. Step 2: Convert to fraction form
    686.37/947.11 = 465.40/x
  3. Step 3: Cross multiply
    686.37x = 947.11 × 465.40
  4. Step 4: Simplify right side
    686.37x = 440,784.99
  5. Step 5: Solve for x
    x = 440,784.99/686.37
  6. Step 6: Final answer
    x = 642.20

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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.