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Finding the Fourth Proportional to 686.52, 947.10 and 465.60

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Solution

The fourth proportional to 686.52, 947.10 and 465.60 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 947.10 = 465.60 : x
  2. Step 2: Convert to fraction form
    686.52/947.10 = 465.60/x
  3. Step 3: Cross multiply
    686.52x = 947.10 × 465.60
  4. Step 4: Simplify right side
    686.52x = 440,969.76
  5. Step 5: Solve for x
    x = 440,969.76/686.52
  6. Step 6: Final answer
    x = 642.33

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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.