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Finding the Fourth Proportional to 651.42, 977.04 and 164.44

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Solution

The fourth proportional to 651.42, 977.04 and 164.44 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 977.04 = 164.44 : x
  2. Step 2: Convert to fraction form
    651.42/977.04 = 164.44/x
  3. Step 3: Cross multiply
    651.42x = 977.04 × 164.44
  4. Step 4: Simplify right side
    651.42x = 160,668.74
  5. Step 5: Solve for x
    x = 160,668.74/651.42
  6. Step 6: Final answer
    x = 246.64

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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.