Home / 1,289.09-1,925.85-822.93

Finding the Fourth Proportional to 1,289.09, 1,925.85 and 822.93

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Solution

The fourth proportional to 1,289.09, 1,925.85 and 822.93 is: 1,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.09 : 1,925.85 = 822.93 : x
  2. Step 2: Convert to fraction form
    1,289.09/1,925.85 = 822.93/x
  3. Step 3: Cross multiply
    1,289.09x = 1,925.85 × 822.93
  4. Step 4: Simplify right side
    1,289.09x = 1,584,839.74
  5. Step 5: Solve for x
    x = 1,584,839.74/1,289.09
  6. Step 6: Final answer
    x = 1,229.43

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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.