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Finding the Fourth Proportional to 691.66, 954.33 and 411.67

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Solution

The fourth proportional to 691.66, 954.33 and 411.67 is: 568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 954.33 = 411.67 : x
  2. Step 2: Convert to fraction form
    691.66/954.33 = 411.67/x
  3. Step 3: Cross multiply
    691.66x = 954.33 × 411.67
  4. Step 4: Simplify right side
    691.66x = 392,869.03
  5. Step 5: Solve for x
    x = 392,869.03/691.66
  6. Step 6: Final answer
    x = 568.01

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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.