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Finding the Fourth Proportional to 686.88, 947.56 and 465.88

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Solution

The fourth proportional to 686.88, 947.56 and 465.88 is: 642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 947.56 = 465.88 : x
  2. Step 2: Convert to fraction form
    686.88/947.56 = 465.88/x
  3. Step 3: Cross multiply
    686.88x = 947.56 × 465.88
  4. Step 4: Simplify right side
    686.88x = 441,449.25
  5. Step 5: Solve for x
    x = 441,449.25/686.88
  6. Step 6: Final answer
    x = 642.69

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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.