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Finding the Fourth Proportional to 685.94, 1,023.57 and 669.47

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Solution

The fourth proportional to 685.94, 1,023.57 and 669.47 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 1,023.57 = 669.47 : x
  2. Step 2: Convert to fraction form
    685.94/1,023.57 = 669.47/x
  3. Step 3: Cross multiply
    685.94x = 1,023.57 × 669.47
  4. Step 4: Simplify right side
    685.94x = 685,244.29
  5. Step 5: Solve for x
    x = 685,244.29/685.94
  6. Step 6: Final answer
    x = 998.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.