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Finding the Fourth Proportional to 594.29, 889.91 and 388.25

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Solution

The fourth proportional to 594.29, 889.91 and 388.25 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.29 : 889.91 = 388.25 : x
  2. Step 2: Convert to fraction form
    594.29/889.91 = 388.25/x
  3. Step 3: Cross multiply
    594.29x = 889.91 × 388.25
  4. Step 4: Simplify right side
    594.29x = 345,501.17
  5. Step 5: Solve for x
    x = 345,501.17/594.29
  6. Step 6: Final answer
    x = 581.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.