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Finding the Fourth Proportional to 953.94, 1,431.12 and 405.84

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Solution

The fourth proportional to 953.94, 1,431.12 and 405.84 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.94 : 1,431.12 = 405.84 : x
  2. Step 2: Convert to fraction form
    953.94/1,431.12 = 405.84/x
  3. Step 3: Cross multiply
    953.94x = 1,431.12 × 405.84
  4. Step 4: Simplify right side
    953.94x = 580,805.74
  5. Step 5: Solve for x
    x = 580,805.74/953.94
  6. Step 6: Final answer
    x = 608.85

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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.