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Finding the Fourth Proportional to 1,416.65, 2,124.97 and 376.65

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Solution

The fourth proportional to 1,416.65, 2,124.97 and 376.65 is: 564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.65 : 2,124.97 = 376.65 : x
  2. Step 2: Convert to fraction form
    1,416.65/2,124.97 = 376.65/x
  3. Step 3: Cross multiply
    1,416.65x = 2,124.97 × 376.65
  4. Step 4: Simplify right side
    1,416.65x = 800,369.48
  5. Step 5: Solve for x
    x = 800,369.48/1,416.65
  6. Step 6: Final answer
    x = 564.97

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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.