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Finding the Fourth Proportional to 829.30, 1,144.50 and 497.74

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Solution

The fourth proportional to 829.30, 1,144.50 and 497.74 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,144.50 = 497.74 : x
  2. Step 2: Convert to fraction form
    829.30/1,144.50 = 497.74/x
  3. Step 3: Cross multiply
    829.30x = 1,144.50 × 497.74
  4. Step 4: Simplify right side
    829.30x = 569,663.43
  5. Step 5: Solve for x
    x = 569,663.43/829.30
  6. Step 6: Final answer
    x = 686.92

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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.