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Finding the Fourth Proportional to 467.64, 704.21 and 407.48

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Solution

The fourth proportional to 467.64, 704.21 and 407.48 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 704.21 = 407.48 : x
  2. Step 2: Convert to fraction form
    467.64/704.21 = 407.48/x
  3. Step 3: Cross multiply
    467.64x = 704.21 × 407.48
  4. Step 4: Simplify right side
    467.64x = 286,945.93
  5. Step 5: Solve for x
    x = 286,945.93/467.64
  6. Step 6: Final answer
    x = 613.60

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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.