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Finding the Fourth Proportional to 428.70, 590.74 and 310.47

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Solution

The fourth proportional to 428.70, 590.74 and 310.47 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 590.74 = 310.47 : x
  2. Step 2: Convert to fraction form
    428.70/590.74 = 310.47/x
  3. Step 3: Cross multiply
    428.70x = 590.74 × 310.47
  4. Step 4: Simplify right side
    428.70x = 183,407.05
  5. Step 5: Solve for x
    x = 183,407.05/428.70
  6. Step 6: Final answer
    x = 427.82

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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.