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Finding the Fourth Proportional to 428.86, 591.63 and 263.01

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Solution

The fourth proportional to 428.86, 591.63 and 263.01 is: 362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 591.63 = 263.01 : x
  2. Step 2: Convert to fraction form
    428.86/591.63 = 263.01/x
  3. Step 3: Cross multiply
    428.86x = 591.63 × 263.01
  4. Step 4: Simplify right side
    428.86x = 155,604.08
  5. Step 5: Solve for x
    x = 155,604.08/428.86
  6. Step 6: Final answer
    x = 362.83

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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.