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Finding the Fourth Proportional to 463.69, 640.11 and 330.94

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Solution

The fourth proportional to 463.69, 640.11 and 330.94 is: 456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 640.11 = 330.94 : x
  2. Step 2: Convert to fraction form
    463.69/640.11 = 330.94/x
  3. Step 3: Cross multiply
    463.69x = 640.11 × 330.94
  4. Step 4: Simplify right side
    463.69x = 211,838.00
  5. Step 5: Solve for x
    x = 211,838.00/463.69
  6. Step 6: Final answer
    x = 456.85

Related Problems

Find fourth proportional to 231.85, 320.06 and 165.47
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.