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Finding the Fourth Proportional to 772.25, 1,157.85 and 425.74

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Solution

The fourth proportional to 772.25, 1,157.85 and 425.74 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.25 : 1,157.85 = 425.74 : x
  2. Step 2: Convert to fraction form
    772.25/1,157.85 = 425.74/x
  3. Step 3: Cross multiply
    772.25x = 1,157.85 × 425.74
  4. Step 4: Simplify right side
    772.25x = 492,943.06
  5. Step 5: Solve for x
    x = 492,943.06/772.25
  6. Step 6: Final answer
    x = 638.32

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1.5x scale

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.