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Finding the Fourth Proportional to 651.12, 975.66 and 406.91

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Solution

The fourth proportional to 651.12, 975.66 and 406.91 is: 609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 975.66 = 406.91 : x
  2. Step 2: Convert to fraction form
    651.12/975.66 = 406.91/x
  3. Step 3: Cross multiply
    651.12x = 975.66 × 406.91
  4. Step 4: Simplify right side
    651.12x = 397,000.93
  5. Step 5: Solve for x
    x = 397,000.93/651.12
  6. Step 6: Final answer
    x = 609.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.