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Finding the Fourth Proportional to 829.06, 1,144.15 and 497.68

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Solution

The fourth proportional to 829.06, 1,144.15 and 497.68 is: 686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.06 : 1,144.15 = 497.68 : x
  2. Step 2: Convert to fraction form
    829.06/1,144.15 = 497.68/x
  3. Step 3: Cross multiply
    829.06x = 1,144.15 × 497.68
  4. Step 4: Simplify right side
    829.06x = 569,416.47
  5. Step 5: Solve for x
    x = 569,416.47/829.06
  6. Step 6: Final answer
    x = 686.82

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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.