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Finding the Fourth Proportional to 1,209.90, 1,669.66 and 712.64

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Solution

The fourth proportional to 1,209.90, 1,669.66 and 712.64 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.90 : 1,669.66 = 712.64 : x
  2. Step 2: Convert to fraction form
    1,209.90/1,669.66 = 712.64/x
  3. Step 3: Cross multiply
    1,209.90x = 1,669.66 × 712.64
  4. Step 4: Simplify right side
    1,209.90x = 1,189,866.50
  5. Step 5: Solve for x
    x = 1,189,866.50/1,209.90
  6. Step 6: Final answer
    x = 983.44

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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.