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Finding the Fourth Proportional to 829.63, 1,250.41 and 715.45

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Solution

The fourth proportional to 829.63, 1,250.41 and 715.45 is: 1,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.63 : 1,250.41 = 715.45 : x
  2. Step 2: Convert to fraction form
    829.63/1,250.41 = 715.45/x
  3. Step 3: Cross multiply
    829.63x = 1,250.41 × 715.45
  4. Step 4: Simplify right side
    829.63x = 894,605.83
  5. Step 5: Solve for x
    x = 894,605.83/829.63
  6. Step 6: Final answer
    x = 1,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.