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Finding the Fourth Proportional to 685.91, 946.14 and 464.92

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Solution

The fourth proportional to 685.91, 946.14 and 464.92 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.91 : 946.14 = 464.92 : x
  2. Step 2: Convert to fraction form
    685.91/946.14 = 464.92/x
  3. Step 3: Cross multiply
    685.91x = 946.14 × 464.92
  4. Step 4: Simplify right side
    685.91x = 439,879.41
  5. Step 5: Solve for x
    x = 439,879.41/685.91
  6. Step 6: Final answer
    x = 641.31

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Half scale
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Double scale
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Similar ratio
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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.