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Finding the Fourth Proportional to 1,043.66, 1,571.59 and 771.67

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Solution

The fourth proportional to 1,043.66, 1,571.59 and 771.67 is: 1,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.66 : 1,571.59 = 771.67 : x
  2. Step 2: Convert to fraction form
    1,043.66/1,571.59 = 771.67/x
  3. Step 3: Cross multiply
    1,043.66x = 1,571.59 × 771.67
  4. Step 4: Simplify right side
    1,043.66x = 1,212,743.00
  5. Step 5: Solve for x
    x = 1,212,743.00/1,043.66
  6. Step 6: Final answer
    x = 1,162.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.