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Finding the Fourth Proportional to 411.95, 567.98 and 345.82

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Solution

The fourth proportional to 411.95, 567.98 and 345.82 is: 476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 567.98 = 345.82 : x
  2. Step 2: Convert to fraction form
    411.95/567.98 = 345.82/x
  3. Step 3: Cross multiply
    411.95x = 567.98 × 345.82
  4. Step 4: Simplify right side
    411.95x = 196,418.06
  5. Step 5: Solve for x
    x = 196,418.06/411.95
  6. Step 6: Final answer
    x = 476.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.