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Finding the Fourth Proportional to 772.34, 1,157.79 and 425.35

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Solution

The fourth proportional to 772.34, 1,157.79 and 425.35 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.34 : 1,157.79 = 425.35 : x
  2. Step 2: Convert to fraction form
    772.34/1,157.79 = 425.35/x
  3. Step 3: Cross multiply
    772.34x = 1,157.79 × 425.35
  4. Step 4: Simplify right side
    772.34x = 492,469.02
  5. Step 5: Solve for x
    x = 492,469.02/772.34
  6. Step 6: Final answer
    x = 637.64

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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.