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Finding the Fourth Proportional to 651.53, 977.33 and 164.61

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Solution

The fourth proportional to 651.53, 977.33 and 164.61 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.53 : 977.33 = 164.61 : x
  2. Step 2: Convert to fraction form
    651.53/977.33 = 164.61/x
  3. Step 3: Cross multiply
    651.53x = 977.33 × 164.61
  4. Step 4: Simplify right side
    651.53x = 160,877.47
  5. Step 5: Solve for x
    x = 160,877.47/651.53
  6. Step 6: Final answer
    x = 246.92

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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.