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Finding the Fourth Proportional to 686.26, 948.27 and 477.28

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Solution

The fourth proportional to 686.26, 948.27 and 477.28 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 948.27 = 477.28 : x
  2. Step 2: Convert to fraction form
    686.26/948.27 = 477.28/x
  3. Step 3: Cross multiply
    686.26x = 948.27 × 477.28
  4. Step 4: Simplify right side
    686.26x = 452,590.31
  5. Step 5: Solve for x
    x = 452,590.31/686.26
  6. Step 6: Final answer
    x = 659.50

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Double scale
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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.