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Finding the Fourth Proportional to 1,715.58, 2,571.17 and 777.84

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Solution

The fourth proportional to 1,715.58, 2,571.17 and 777.84 is: 1,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.58 : 2,571.17 = 777.84 : x
  2. Step 2: Convert to fraction form
    1,715.58/2,571.17 = 777.84/x
  3. Step 3: Cross multiply
    1,715.58x = 2,571.17 × 777.84
  4. Step 4: Simplify right side
    1,715.58x = 1,999,954.98
  5. Step 5: Solve for x
    x = 1,999,954.98/1,715.58
  6. Step 6: Final answer
    x = 1,165.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.