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Finding the Fourth Proportional to 963.62, 1,444.83 and 415.62

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Solution

The fourth proportional to 963.62, 1,444.83 and 415.62 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.62 : 1,444.83 = 415.62 : x
  2. Step 2: Convert to fraction form
    963.62/1,444.83 = 415.62/x
  3. Step 3: Cross multiply
    963.62x = 1,444.83 × 415.62
  4. Step 4: Simplify right side
    963.62x = 600,500.24
  5. Step 5: Solve for x
    x = 600,500.24/963.62
  6. Step 6: Final answer
    x = 623.17

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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.