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Finding the Fourth Proportional to 1,065.74, 1,596.53 and 699.41

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Solution

The fourth proportional to 1,065.74, 1,596.53 and 699.41 is: 1,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.74 : 1,596.53 = 699.41 : x
  2. Step 2: Convert to fraction form
    1,065.74/1,596.53 = 699.41/x
  3. Step 3: Cross multiply
    1,065.74x = 1,596.53 × 699.41
  4. Step 4: Simplify right side
    1,065.74x = 1,116,625.55
  5. Step 5: Solve for x
    x = 1,116,625.55/1,065.74
  6. Step 6: Final answer
    x = 1,047.75

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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.