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Finding the Fourth Proportional to 1,178.42, 1,624.53 and 828.02

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Solution

The fourth proportional to 1,178.42, 1,624.53 and 828.02 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.42 : 1,624.53 = 828.02 : x
  2. Step 2: Convert to fraction form
    1,178.42/1,624.53 = 828.02/x
  3. Step 3: Cross multiply
    1,178.42x = 1,624.53 × 828.02
  4. Step 4: Simplify right side
    1,178.42x = 1,345,143.33
  5. Step 5: Solve for x
    x = 1,345,143.33/1,178.42
  6. Step 6: Final answer
    x = 1,141.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.