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Finding the Fourth Proportional to 829.59, 1,144.68 and 497.90

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Solution

The fourth proportional to 829.59, 1,144.68 and 497.90 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,144.68 = 497.90 : x
  2. Step 2: Convert to fraction form
    829.59/1,144.68 = 497.90/x
  3. Step 3: Cross multiply
    829.59x = 1,144.68 × 497.90
  4. Step 4: Simplify right side
    829.59x = 569,928.58
  5. Step 5: Solve for x
    x = 569,928.58/829.59
  6. Step 6: Final answer
    x = 687.00

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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.