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Finding the Fourth Proportional to 589.22, 887.26 and 436.24

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Solution

The fourth proportional to 589.22, 887.26 and 436.24 is: 656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 887.26 = 436.24 : x
  2. Step 2: Convert to fraction form
    589.22/887.26 = 436.24/x
  3. Step 3: Cross multiply
    589.22x = 887.26 × 436.24
  4. Step 4: Simplify right side
    589.22x = 387,055.37
  5. Step 5: Solve for x
    x = 387,055.37/589.22
  6. Step 6: Final answer
    x = 656.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.