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Finding the Fourth Proportional to 1,063.80, 1,467.64 and 784.71

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Solution

The fourth proportional to 1,063.80, 1,467.64 and 784.71 is: 1,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.80 : 1,467.64 = 784.71 : x
  2. Step 2: Convert to fraction form
    1,063.80/1,467.64 = 784.71/x
  3. Step 3: Cross multiply
    1,063.80x = 1,467.64 × 784.71
  4. Step 4: Simplify right side
    1,063.80x = 1,151,668.24
  5. Step 5: Solve for x
    x = 1,151,668.24/1,063.80
  6. Step 6: Final answer
    x = 1,082.59

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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.