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Finding the Fourth Proportional to 953.37, 1,429.61 and 405.27

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Solution

The fourth proportional to 953.37, 1,429.61 and 405.27 is: 607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.37 : 1,429.61 = 405.27 : x
  2. Step 2: Convert to fraction form
    953.37/1,429.61 = 405.27/x
  3. Step 3: Cross multiply
    953.37x = 1,429.61 × 405.27
  4. Step 4: Simplify right side
    953.37x = 579,376.02
  5. Step 5: Solve for x
    x = 579,376.02/953.37
  6. Step 6: Final answer
    x = 607.71

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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.