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Finding the Fourth Proportional to 691.86, 954.62 and 412.10

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Solution

The fourth proportional to 691.86, 954.62 and 412.10 is: 568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.62 = 412.10 : x
  2. Step 2: Convert to fraction form
    691.86/954.62 = 412.10/x
  3. Step 3: Cross multiply
    691.86x = 954.62 × 412.10
  4. Step 4: Simplify right side
    691.86x = 393,398.90
  5. Step 5: Solve for x
    x = 393,398.90/691.86
  6. Step 6: Final answer
    x = 568.61

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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.