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Finding the Fourth Proportional to 651.42, 977.09 and 261.27

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Solution

The fourth proportional to 651.42, 977.09 and 261.27 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 977.09 = 261.27 : x
  2. Step 2: Convert to fraction form
    651.42/977.09 = 261.27/x
  3. Step 3: Cross multiply
    651.42x = 977.09 × 261.27
  4. Step 4: Simplify right side
    651.42x = 255,283.00
  5. Step 5: Solve for x
    x = 255,283.00/651.42
  6. Step 6: Final answer
    x = 391.89

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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.