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Finding the Fourth Proportional to 691.76, 954.78 and 412.14

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Solution

The fourth proportional to 691.76, 954.78 and 412.14 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.76 : 954.78 = 412.14 : x
  2. Step 2: Convert to fraction form
    691.76/954.78 = 412.14/x
  3. Step 3: Cross multiply
    691.76x = 954.78 × 412.14
  4. Step 4: Simplify right side
    691.76x = 393,503.03
  5. Step 5: Solve for x
    x = 393,503.03/691.76
  6. Step 6: Final answer
    x = 568.85

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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.