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Finding the Fourth Proportional to 770.64, 1,153.24 and 626

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Solution

The fourth proportional to 770.64, 1,153.24 and 626 is: 936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,153.24 = 626 : x
  2. Step 2: Convert to fraction form
    770.64/1,153.24 = 626/x
  3. Step 3: Cross multiply
    770.64x = 1,153.24 × 626
  4. Step 4: Simplify right side
    770.64x = 721,928.24
  5. Step 5: Solve for x
    x = 721,928.24/770.64
  6. Step 6: Final answer
    x = 936.79

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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.