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Finding the Fourth Proportional to 401.82, 598.80 and 388.77

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Solution

The fourth proportional to 401.82, 598.80 and 388.77 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 598.80 = 388.77 : x
  2. Step 2: Convert to fraction form
    401.82/598.80 = 388.77/x
  3. Step 3: Cross multiply
    401.82x = 598.80 × 388.77
  4. Step 4: Simplify right side
    401.82x = 232,795.48
  5. Step 5: Solve for x
    x = 232,795.48/401.82
  6. Step 6: Final answer
    x = 579.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.