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Finding the Fourth Proportional to 467, 699.91 and 409.08

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Solution

The fourth proportional to 467, 699.91 and 409.08 is: 613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467 : 699.91 = 409.08 : x
  2. Step 2: Convert to fraction form
    467/699.91 = 409.08/x
  3. Step 3: Cross multiply
    467x = 699.91 × 409.08
  4. Step 4: Simplify right side
    467x = 286,319.18
  5. Step 5: Solve for x
    x = 286,319.18/467
  6. Step 6: Final answer
    x = 613.10

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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.