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Finding the Fourth Proportional to 1,392.52, 1,921.74 and 771.52

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Solution

The fourth proportional to 1,392.52, 1,921.74 and 771.52 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.52 : 1,921.74 = 771.52 : x
  2. Step 2: Convert to fraction form
    1,392.52/1,921.74 = 771.52/x
  3. Step 3: Cross multiply
    1,392.52x = 1,921.74 × 771.52
  4. Step 4: Simplify right side
    1,392.52x = 1,482,660.84
  5. Step 5: Solve for x
    x = 1,482,660.84/1,392.52
  6. Step 6: Final answer
    x = 1,064.73

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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.