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Finding the Fourth Proportional to 829.38, 1,144.68 and 803.36

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Solution

The fourth proportional to 829.38, 1,144.68 and 803.36 is: 1,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.38 : 1,144.68 = 803.36 : x
  2. Step 2: Convert to fraction form
    829.38/1,144.68 = 803.36/x
  3. Step 3: Cross multiply
    829.38x = 1,144.68 × 803.36
  4. Step 4: Simplify right side
    829.38x = 919,590.12
  5. Step 5: Solve for x
    x = 919,590.12/829.38
  6. Step 6: Final answer
    x = 1,108.77

Related Problems

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1.5x scale

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.