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Finding the Fourth Proportional to 652.23, 894.04 and 643.47

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Solution

The fourth proportional to 652.23, 894.04 and 643.47 is: 882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.23 : 894.04 = 643.47 : x
  2. Step 2: Convert to fraction form
    652.23/894.04 = 643.47/x
  3. Step 3: Cross multiply
    652.23x = 894.04 × 643.47
  4. Step 4: Simplify right side
    652.23x = 575,286.31
  5. Step 5: Solve for x
    x = 575,286.31/652.23
  6. Step 6: Final answer
    x = 882.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.