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Finding the Fourth Proportional to 428.46, 590.86 and 397.02

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Solution

The fourth proportional to 428.46, 590.86 and 397.02 is: 547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 590.86 = 397.02 : x
  2. Step 2: Convert to fraction form
    428.46/590.86 = 397.02/x
  3. Step 3: Cross multiply
    428.46x = 590.86 × 397.02
  4. Step 4: Simplify right side
    428.46x = 234,583.24
  5. Step 5: Solve for x
    x = 234,583.24/428.46
  6. Step 6: Final answer
    x = 547.50

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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.