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Finding the Fourth Proportional to 2,975.59, 4,463.83 and 784.49

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Solution

The fourth proportional to 2,975.59, 4,463.83 and 784.49 is: 1,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.59 : 4,463.83 = 784.49 : x
  2. Step 2: Convert to fraction form
    2,975.59/4,463.83 = 784.49/x
  3. Step 3: Cross multiply
    2,975.59x = 4,463.83 × 784.49
  4. Step 4: Simplify right side
    2,975.59x = 3,501,810.86
  5. Step 5: Solve for x
    x = 3,501,810.86/2,975.59
  6. Step 6: Final answer
    x = 1,176.85

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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.