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Finding the Fourth Proportional to 589.88, 815.16 and 442.26

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Solution

The fourth proportional to 589.88, 815.16 and 442.26 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 815.16 = 442.26 : x
  2. Step 2: Convert to fraction form
    589.88/815.16 = 442.26/x
  3. Step 3: Cross multiply
    589.88x = 815.16 × 442.26
  4. Step 4: Simplify right side
    589.88x = 360,512.66
  5. Step 5: Solve for x
    x = 360,512.66/589.88
  6. Step 6: Final answer
    x = 611.16

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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.