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Finding the Fourth Proportional to 1,424.81, 2,137.53 and 437.63

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Solution

The fourth proportional to 1,424.81, 2,137.53 and 437.63 is: 656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.81 : 2,137.53 = 437.63 : x
  2. Step 2: Convert to fraction form
    1,424.81/2,137.53 = 437.63/x
  3. Step 3: Cross multiply
    1,424.81x = 2,137.53 × 437.63
  4. Step 4: Simplify right side
    1,424.81x = 935,434.38
  5. Step 5: Solve for x
    x = 935,434.38/1,424.81
  6. Step 6: Final answer
    x = 656.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.