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Finding the Fourth Proportional to 832.94, 1,148.79 and 777.05

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Solution

The fourth proportional to 832.94, 1,148.79 and 777.05 is: 1,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.94 : 1,148.79 = 777.05 : x
  2. Step 2: Convert to fraction form
    832.94/1,148.79 = 777.05/x
  3. Step 3: Cross multiply
    832.94x = 1,148.79 × 777.05
  4. Step 4: Simplify right side
    832.94x = 892,668.75
  5. Step 5: Solve for x
    x = 892,668.75/832.94
  6. Step 6: Final answer
    x = 1,071.71

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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.