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Finding the Fourth Proportional to 411.33, 613.37 and 407.67

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Solution

The fourth proportional to 411.33, 613.37 and 407.67 is: 607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.33 : 613.37 = 407.67 : x
  2. Step 2: Convert to fraction form
    411.33/613.37 = 407.67/x
  3. Step 3: Cross multiply
    411.33x = 613.37 × 407.67
  4. Step 4: Simplify right side
    411.33x = 250,050.51
  5. Step 5: Solve for x
    x = 250,050.51/411.33
  6. Step 6: Final answer
    x = 607.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.