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Finding the Fourth Proportional to 613.47, 919.13 and 325.11

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Solution

The fourth proportional to 613.47, 919.13 and 325.11 is: 487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.47 : 919.13 = 325.11 : x
  2. Step 2: Convert to fraction form
    613.47/919.13 = 325.11/x
  3. Step 3: Cross multiply
    613.47x = 919.13 × 325.11
  4. Step 4: Simplify right side
    613.47x = 298,818.35
  5. Step 5: Solve for x
    x = 298,818.35/613.47
  6. Step 6: Final answer
    x = 487.10

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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.