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Finding the Fourth Proportional to 1,280.48, 1,920.36 and 549.88

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Solution

The fourth proportional to 1,280.48, 1,920.36 and 549.88 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.48 : 1,920.36 = 549.88 : x
  2. Step 2: Convert to fraction form
    1,280.48/1,920.36 = 549.88/x
  3. Step 3: Cross multiply
    1,280.48x = 1,920.36 × 549.88
  4. Step 4: Simplify right side
    1,280.48x = 1,055,967.56
  5. Step 5: Solve for x
    x = 1,055,967.56/1,280.48
  6. Step 6: Final answer
    x = 824.67

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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.