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Finding the Fourth Proportional to 949.91, 1,430.45 and 829.62

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Solution

The fourth proportional to 949.91, 1,430.45 and 829.62 is: 1,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.91 : 1,430.45 = 829.62 : x
  2. Step 2: Convert to fraction form
    949.91/1,430.45 = 829.62/x
  3. Step 3: Cross multiply
    949.91x = 1,430.45 × 829.62
  4. Step 4: Simplify right side
    949.91x = 1,186,728.89
  5. Step 5: Solve for x
    x = 1,186,728.89/949.91
  6. Step 6: Final answer
    x = 1,249.31

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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.