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Finding the Fourth Proportional to 428.76, 590.83 and 310.53

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Solution

The fourth proportional to 428.76, 590.83 and 310.53 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.76 : 590.83 = 310.53 : x
  2. Step 2: Convert to fraction form
    428.76/590.83 = 310.53/x
  3. Step 3: Cross multiply
    428.76x = 590.83 × 310.53
  4. Step 4: Simplify right side
    428.76x = 183,470.44
  5. Step 5: Solve for x
    x = 183,470.44/428.76
  6. Step 6: Final answer
    x = 427.91

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Find fourth proportional to 214.38, 295.42 and 155.27
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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.