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Finding the Fourth Proportional to 651.80, 977.61 and 164.82

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Solution

The fourth proportional to 651.80, 977.61 and 164.82 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 977.61 = 164.82 : x
  2. Step 2: Convert to fraction form
    651.80/977.61 = 164.82/x
  3. Step 3: Cross multiply
    651.80x = 977.61 × 164.82
  4. Step 4: Simplify right side
    651.80x = 161,128.86
  5. Step 5: Solve for x
    x = 161,128.86/651.80
  6. Step 6: Final answer
    x = 247.21

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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.