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Finding the Fourth Proportional to 686.74, 947.96 and 465.25

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Solution

The fourth proportional to 686.74, 947.96 and 465.25 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.74 : 947.96 = 465.25 : x
  2. Step 2: Convert to fraction form
    686.74/947.96 = 465.25/x
  3. Step 3: Cross multiply
    686.74x = 947.96 × 465.25
  4. Step 4: Simplify right side
    686.74x = 441,036.06
  5. Step 5: Solve for x
    x = 441,036.06/686.74
  6. Step 6: Final answer
    x = 642.22

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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.