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Finding the Fourth Proportional to 651.68, 972.16 and 629.72

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Solution

The fourth proportional to 651.68, 972.16 and 629.72 is: 939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.68 : 972.16 = 629.72 : x
  2. Step 2: Convert to fraction form
    651.68/972.16 = 629.72/x
  3. Step 3: Cross multiply
    651.68x = 972.16 × 629.72
  4. Step 4: Simplify right side
    651.68x = 612,188.60
  5. Step 5: Solve for x
    x = 612,188.60/651.68
  6. Step 6: Final answer
    x = 939.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.