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Finding the Fourth Proportional to 796.93, 1,188.68 and 772.63

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Solution

The fourth proportional to 796.93, 1,188.68 and 772.63 is: 1,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.93 : 1,188.68 = 772.63 : x
  2. Step 2: Convert to fraction form
    796.93/1,188.68 = 772.63/x
  3. Step 3: Cross multiply
    796.93x = 1,188.68 × 772.63
  4. Step 4: Simplify right side
    796.93x = 918,409.83
  5. Step 5: Solve for x
    x = 918,409.83/796.93
  6. Step 6: Final answer
    x = 1,152.43

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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.