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Finding the Fourth Proportional to 1,209.95, 1,669.73 and 712.59

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Solution

The fourth proportional to 1,209.95, 1,669.73 and 712.59 is: 983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.95 : 1,669.73 = 712.59 : x
  2. Step 2: Convert to fraction form
    1,209.95/1,669.73 = 712.59/x
  3. Step 3: Cross multiply
    1,209.95x = 1,669.73 × 712.59
  4. Step 4: Simplify right side
    1,209.95x = 1,189,829.34
  5. Step 5: Solve for x
    x = 1,189,829.34/1,209.95
  6. Step 6: Final answer
    x = 983.37

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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.