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Finding the Fourth Proportional to 832.49, 1,147.58 and 552.23

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Solution

The fourth proportional to 832.49, 1,147.58 and 552.23 is: 761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.49 : 1,147.58 = 552.23 : x
  2. Step 2: Convert to fraction form
    832.49/1,147.58 = 552.23/x
  3. Step 3: Cross multiply
    832.49x = 1,147.58 × 552.23
  4. Step 4: Simplify right side
    832.49x = 633,725.98
  5. Step 5: Solve for x
    x = 633,725.98/832.49
  6. Step 6: Final answer
    x = 761.25

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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.