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Finding the Fourth Proportional to 534.88, 801.90 and 304.02

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Solution

The fourth proportional to 534.88, 801.90 and 304.02 is: 455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.88 : 801.90 = 304.02 : x
  2. Step 2: Convert to fraction form
    534.88/801.90 = 304.02/x
  3. Step 3: Cross multiply
    534.88x = 801.90 × 304.02
  4. Step 4: Simplify right side
    534.88x = 243,793.64
  5. Step 5: Solve for x
    x = 243,793.64/534.88
  6. Step 6: Final answer
    x = 455.79

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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.