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Finding the Fourth Proportional to 829.21, 1,144.26 and 497.47

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Solution

The fourth proportional to 829.21, 1,144.26 and 497.47 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.21 : 1,144.26 = 497.47 : x
  2. Step 2: Convert to fraction form
    829.21/1,144.26 = 497.47/x
  3. Step 3: Cross multiply
    829.21x = 1,144.26 × 497.47
  4. Step 4: Simplify right side
    829.21x = 569,235.02
  5. Step 5: Solve for x
    x = 569,235.02/829.21
  6. Step 6: Final answer
    x = 686.48

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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.