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Finding the Fourth Proportional to 1,328.99, 1,992.14 and 549.55

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Solution

The fourth proportional to 1,328.99, 1,992.14 and 549.55 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.99 : 1,992.14 = 549.55 : x
  2. Step 2: Convert to fraction form
    1,328.99/1,992.14 = 549.55/x
  3. Step 3: Cross multiply
    1,328.99x = 1,992.14 × 549.55
  4. Step 4: Simplify right side
    1,328.99x = 1,094,767.83
  5. Step 5: Solve for x
    x = 1,094,767.83/1,328.99
  6. Step 6: Final answer
    x = 823.76

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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.