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Finding the Fourth Proportional to 686.75, 946.89 and 477.11

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Solution

The fourth proportional to 686.75, 946.89 and 477.11 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 946.89 = 477.11 : x
  2. Step 2: Convert to fraction form
    686.75/946.89 = 477.11/x
  3. Step 3: Cross multiply
    686.75x = 946.89 × 477.11
  4. Step 4: Simplify right side
    686.75x = 451,773.06
  5. Step 5: Solve for x
    x = 451,773.06/686.75
  6. Step 6: Final answer
    x = 657.84

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Find fourth proportional to 343.38, 473.45 and 238.56
Half scale
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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.