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Finding the Fourth Proportional to 829.47, 1,145.03 and 549.21

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Solution

The fourth proportional to 829.47, 1,145.03 and 549.21 is: 758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,145.03 = 549.21 : x
  2. Step 2: Convert to fraction form
    829.47/1,145.03 = 549.21/x
  3. Step 3: Cross multiply
    829.47x = 1,145.03 × 549.21
  4. Step 4: Simplify right side
    829.47x = 628,859.18
  5. Step 5: Solve for x
    x = 628,859.18/829.47
  6. Step 6: Final answer
    x = 758.15

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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.