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Finding the Fourth Proportional to 678.75, 936.92 and 471.87

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Solution

The fourth proportional to 678.75, 936.92 and 471.87 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 936.92 = 471.87 : x
  2. Step 2: Convert to fraction form
    678.75/936.92 = 471.87/x
  3. Step 3: Cross multiply
    678.75x = 936.92 × 471.87
  4. Step 4: Simplify right side
    678.75x = 442,102.08
  5. Step 5: Solve for x
    x = 442,102.08/678.75
  6. Step 6: Final answer
    x = 651.35

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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.