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Finding the Fourth Proportional to 437.70, 654.26 and 340.50

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Solution

The fourth proportional to 437.70, 654.26 and 340.50 is: 508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.70 : 654.26 = 340.50 : x
  2. Step 2: Convert to fraction form
    437.70/654.26 = 340.50/x
  3. Step 3: Cross multiply
    437.70x = 654.26 × 340.50
  4. Step 4: Simplify right side
    437.70x = 222,773.83
  5. Step 5: Solve for x
    x = 222,773.83/437.70
  6. Step 6: Final answer
    x = 508.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.