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Finding the Fourth Proportional to 535.68, 800.28 and 448.20

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Solution

The fourth proportional to 535.68, 800.28 and 448.20 is: 669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 800.28 = 448.20 : x
  2. Step 2: Convert to fraction form
    535.68/800.28 = 448.20/x
  3. Step 3: Cross multiply
    535.68x = 800.28 × 448.20
  4. Step 4: Simplify right side
    535.68x = 358,685.50
  5. Step 5: Solve for x
    x = 358,685.50/535.68
  6. Step 6: Final answer
    x = 669.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.