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Finding the Fourth Proportional to 549.61, 825.33 and 459.01

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Solution

The fourth proportional to 549.61, 825.33 and 459.01 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.61 : 825.33 = 459.01 : x
  2. Step 2: Convert to fraction form
    549.61/825.33 = 459.01/x
  3. Step 3: Cross multiply
    549.61x = 825.33 × 459.01
  4. Step 4: Simplify right side
    549.61x = 378,834.72
  5. Step 5: Solve for x
    x = 378,834.72/549.61
  6. Step 6: Final answer
    x = 689.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.