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Finding the Fourth Proportional to 1,523.41, 2,284.64 and 549.38

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Solution

The fourth proportional to 1,523.41, 2,284.64 and 549.38 is: 823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.41 : 2,284.64 = 549.38 : x
  2. Step 2: Convert to fraction form
    1,523.41/2,284.64 = 549.38/x
  3. Step 3: Cross multiply
    1,523.41x = 2,284.64 × 549.38
  4. Step 4: Simplify right side
    1,523.41x = 1,255,132.78
  5. Step 5: Solve for x
    x = 1,255,132.78/1,523.41
  6. Step 6: Final answer
    x = 823.90

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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.