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Finding the Fourth Proportional to 651.87, 976.86 and 407.70

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Solution

The fourth proportional to 651.87, 976.86 and 407.70 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 976.86 = 407.70 : x
  2. Step 2: Convert to fraction form
    651.87/976.86 = 407.70/x
  3. Step 3: Cross multiply
    651.87x = 976.86 × 407.70
  4. Step 4: Simplify right side
    651.87x = 398,265.82
  5. Step 5: Solve for x
    x = 398,265.82/651.87
  6. Step 6: Final answer
    x = 610.96

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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.