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Finding the Fourth Proportional to 643.74, 965.37 and 355.74

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Solution

The fourth proportional to 643.74, 965.37 and 355.74 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 965.37 = 355.74 : x
  2. Step 2: Convert to fraction form
    643.74/965.37 = 355.74/x
  3. Step 3: Cross multiply
    643.74x = 965.37 × 355.74
  4. Step 4: Simplify right side
    643.74x = 343,420.72
  5. Step 5: Solve for x
    x = 343,420.72/643.74
  6. Step 6: Final answer
    x = 533.48

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Double scale
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Similar ratio
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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.