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Finding the Fourth Proportional to 691.98, 954.93 and 412.21

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Solution

The fourth proportional to 691.98, 954.93 and 412.21 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.98 : 954.93 = 412.21 : x
  2. Step 2: Convert to fraction form
    691.98/954.93 = 412.21/x
  3. Step 3: Cross multiply
    691.98x = 954.93 × 412.21
  4. Step 4: Simplify right side
    691.98x = 393,630.79
  5. Step 5: Solve for x
    x = 393,630.79/691.98
  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.