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Finding the Fourth Proportional to 613.07, 919.69 and 223.10

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Solution

The fourth proportional to 613.07, 919.69 and 223.10 is: 334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 919.69 = 223.10 : x
  2. Step 2: Convert to fraction form
    613.07/919.69 = 223.10/x
  3. Step 3: Cross multiply
    613.07x = 919.69 × 223.10
  4. Step 4: Simplify right side
    613.07x = 205,177.68
  5. Step 5: Solve for x
    x = 205,177.68/613.07
  6. Step 6: Final answer
    x = 334.68

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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.