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Finding the Fourth Proportional to 829.16, 1,145.16 and 644.88

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Solution

The fourth proportional to 829.16, 1,145.16 and 644.88 is: 890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.16 : 1,145.16 = 644.88 : x
  2. Step 2: Convert to fraction form
    829.16/1,145.16 = 644.88/x
  3. Step 3: Cross multiply
    829.16x = 1,145.16 × 644.88
  4. Step 4: Simplify right side
    829.16x = 738,490.78
  5. Step 5: Solve for x
    x = 738,490.78/829.16
  6. Step 6: Final answer
    x = 890.65

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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.