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Finding the Fourth Proportional to 1,209.86, 1,669.57 and 712.53

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Solution

The fourth proportional to 1,209.86, 1,669.57 and 712.53 is: 983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.86 : 1,669.57 = 712.53 : x
  2. Step 2: Convert to fraction form
    1,209.86/1,669.57 = 712.53/x
  3. Step 3: Cross multiply
    1,209.86x = 1,669.57 × 712.53
  4. Step 4: Simplify right side
    1,209.86x = 1,189,615.15
  5. Step 5: Solve for x
    x = 1,189,615.15/1,209.86
  6. Step 6: Final answer
    x = 983.27

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1.5x scale

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.