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Finding the Fourth Proportional to 661.67, 913.02 and 381.91

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Solution

The fourth proportional to 661.67, 913.02 and 381.91 is: 526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.67 : 913.02 = 381.91 : x
  2. Step 2: Convert to fraction form
    661.67/913.02 = 381.91/x
  3. Step 3: Cross multiply
    661.67x = 913.02 × 381.91
  4. Step 4: Simplify right side
    661.67x = 348,691.47
  5. Step 5: Solve for x
    x = 348,691.47/661.67
  6. Step 6: Final answer
    x = 526.99

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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.