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Finding the Fourth Proportional to 505.05, 695.57 and 388.41

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Solution

The fourth proportional to 505.05, 695.57 and 388.41 is: 534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.05 : 695.57 = 388.41 : x
  2. Step 2: Convert to fraction form
    505.05/695.57 = 388.41/x
  3. Step 3: Cross multiply
    505.05x = 695.57 × 388.41
  4. Step 4: Simplify right side
    505.05x = 270,164.40
  5. Step 5: Solve for x
    x = 270,164.40/505.05
  6. Step 6: Final answer
    x = 534.93

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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.