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Finding the Fourth Proportional to 505.68, 698.42 and 405.08

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Solution

The fourth proportional to 505.68, 698.42 and 405.08 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 698.42 = 405.08 : x
  2. Step 2: Convert to fraction form
    505.68/698.42 = 405.08/x
  3. Step 3: Cross multiply
    505.68x = 698.42 × 405.08
  4. Step 4: Simplify right side
    505.68x = 282,915.97
  5. Step 5: Solve for x
    x = 282,915.97/505.68
  6. Step 6: Final answer
    x = 559.48

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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.