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Finding the Fourth Proportional to 613.36, 918.21 and 407.21

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Solution

The fourth proportional to 613.36, 918.21 and 407.21 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 918.21 = 407.21 : x
  2. Step 2: Convert to fraction form
    613.36/918.21 = 407.21/x
  3. Step 3: Cross multiply
    613.36x = 918.21 × 407.21
  4. Step 4: Simplify right side
    613.36x = 373,904.29
  5. Step 5: Solve for x
    x = 373,904.29/613.36
  6. Step 6: Final answer
    x = 609.61

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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.