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Finding the Fourth Proportional to 798.35, 1,102.77 and 549.24

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Solution

The fourth proportional to 798.35, 1,102.77 and 549.24 is: 758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.35 : 1,102.77 = 549.24 : x
  2. Step 2: Convert to fraction form
    798.35/1,102.77 = 549.24/x
  3. Step 3: Cross multiply
    798.35x = 1,102.77 × 549.24
  4. Step 4: Simplify right side
    798.35x = 605,685.39
  5. Step 5: Solve for x
    x = 605,685.39/798.35
  6. Step 6: Final answer
    x = 758.67

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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.