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Finding the Fourth Proportional to 651.59, 976.66 and 261.47

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Solution

The fourth proportional to 651.59, 976.66 and 261.47 is: 391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.59 : 976.66 = 261.47 : x
  2. Step 2: Convert to fraction form
    651.59/976.66 = 261.47/x
  3. Step 3: Cross multiply
    651.59x = 976.66 × 261.47
  4. Step 4: Simplify right side
    651.59x = 255,369.08
  5. Step 5: Solve for x
    x = 255,369.08/651.59
  6. Step 6: Final answer
    x = 391.92

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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.