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Finding the Fourth Proportional to 829.69, 1,144.65 and 498.13

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Solution

The fourth proportional to 829.69, 1,144.65 and 498.13 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.69 : 1,144.65 = 498.13 : x
  2. Step 2: Convert to fraction form
    829.69/1,144.65 = 498.13/x
  3. Step 3: Cross multiply
    829.69x = 1,144.65 × 498.13
  4. Step 4: Simplify right side
    829.69x = 570,184.50
  5. Step 5: Solve for x
    x = 570,184.50/829.69
  6. Step 6: Final answer
    x = 687.23

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Double scale
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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.