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Finding the Fourth Proportional to 829.98, 1,145.25 and 493.78

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Solution

The fourth proportional to 829.98, 1,145.25 and 493.78 is: 681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.98 : 1,145.25 = 493.78 : x
  2. Step 2: Convert to fraction form
    829.98/1,145.25 = 493.78/x
  3. Step 3: Cross multiply
    829.98x = 1,145.25 × 493.78
  4. Step 4: Simplify right side
    829.98x = 565,506.36
  5. Step 5: Solve for x
    x = 565,506.36/829.98
  6. Step 6: Final answer
    x = 681.35

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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.