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Finding the Fourth Proportional to 661.71, 913.03 and 381.84

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Solution

The fourth proportional to 661.71, 913.03 and 381.84 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.71 : 913.03 = 381.84 : x
  2. Step 2: Convert to fraction form
    661.71/913.03 = 381.84/x
  3. Step 3: Cross multiply
    661.71x = 913.03 × 381.84
  4. Step 4: Simplify right side
    661.71x = 348,631.38
  5. Step 5: Solve for x
    x = 348,631.38/661.71
  6. Step 6: Final answer
    x = 526.86

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Half scale
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Double scale
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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.