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Finding the Fourth Proportional to 437.97, 602.60 and 427.17

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Solution

The fourth proportional to 437.97, 602.60 and 427.17 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.97 : 602.60 = 427.17 : x
  2. Step 2: Convert to fraction form
    437.97/602.60 = 427.17/x
  3. Step 3: Cross multiply
    437.97x = 602.60 × 427.17
  4. Step 4: Simplify right side
    437.97x = 257,410.51
  5. Step 5: Solve for x
    x = 257,410.51/437.97
  6. Step 6: Final answer
    x = 587.74

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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.