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Finding the Fourth Proportional to 1,209.15, 1,668.27 and 704.91

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Solution

The fourth proportional to 1,209.15, 1,668.27 and 704.91 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.15 : 1,668.27 = 704.91 : x
  2. Step 2: Convert to fraction form
    1,209.15/1,668.27 = 704.91/x
  3. Step 3: Cross multiply
    1,209.15x = 1,668.27 × 704.91
  4. Step 4: Simplify right side
    1,209.15x = 1,175,980.21
  5. Step 5: Solve for x
    x = 1,175,980.21/1,209.15
  6. Step 6: Final answer
    x = 972.57

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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.