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Finding the Fourth Proportional to 534.96, 803.25 and 427.64

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Solution

The fourth proportional to 534.96, 803.25 and 427.64 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 803.25 = 427.64 : x
  2. Step 2: Convert to fraction form
    534.96/803.25 = 427.64/x
  3. Step 3: Cross multiply
    534.96x = 803.25 × 427.64
  4. Step 4: Simplify right side
    534.96x = 343,497.81
  5. Step 5: Solve for x
    x = 343,497.81/534.96
  6. Step 6: Final answer
    x = 642.10

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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.