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Finding the Fourth Proportional to 798.28, 1,101.52 and 466.47

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Solution

The fourth proportional to 798.28, 1,101.52 and 466.47 is: 643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.28 : 1,101.52 = 466.47 : x
  2. Step 2: Convert to fraction form
    798.28/1,101.52 = 466.47/x
  3. Step 3: Cross multiply
    798.28x = 1,101.52 × 466.47
  4. Step 4: Simplify right side
    798.28x = 513,826.03
  5. Step 5: Solve for x
    x = 513,826.03/798.28
  6. Step 6: Final answer
    x = 643.67

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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.