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Finding the Fourth Proportional to 829.71, 1,243.49 and 342.63

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Solution

The fourth proportional to 829.71, 1,243.49 and 342.63 is: 513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.71 : 1,243.49 = 342.63 : x
  2. Step 2: Convert to fraction form
    829.71/1,243.49 = 342.63/x
  3. Step 3: Cross multiply
    829.71x = 1,243.49 × 342.63
  4. Step 4: Simplify right side
    829.71x = 426,055.27
  5. Step 5: Solve for x
    x = 426,055.27/829.71
  6. Step 6: Final answer
    x = 513.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.