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Finding the Fourth Proportional to 467.70, 704.32 and 407.55

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Solution

The fourth proportional to 467.70, 704.32 and 407.55 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.70 : 704.32 = 407.55 : x
  2. Step 2: Convert to fraction form
    467.70/704.32 = 407.55/x
  3. Step 3: Cross multiply
    467.70x = 704.32 × 407.55
  4. Step 4: Simplify right side
    467.70x = 287,045.62
  5. Step 5: Solve for x
    x = 287,045.62/467.70
  6. Step 6: Final answer
    x = 613.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.