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Finding the Fourth Proportional to 798.99, 1,102.28 and 488.67

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Solution

The fourth proportional to 798.99, 1,102.28 and 488.67 is: 674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.99 : 1,102.28 = 488.67 : x
  2. Step 2: Convert to fraction form
    798.99/1,102.28 = 488.67/x
  3. Step 3: Cross multiply
    798.99x = 1,102.28 × 488.67
  4. Step 4: Simplify right side
    798.99x = 538,646.88
  5. Step 5: Solve for x
    x = 538,646.88/798.99
  6. Step 6: Final answer
    x = 674.16

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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.