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Finding the Fourth Proportional to 1,065.99, 1,597.37 and 790.79

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Solution

The fourth proportional to 1,065.99, 1,597.37 and 790.79 is: 1,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.99 : 1,597.37 = 790.79 : x
  2. Step 2: Convert to fraction form
    1,065.99/1,597.37 = 790.79/x
  3. Step 3: Cross multiply
    1,065.99x = 1,597.37 × 790.79
  4. Step 4: Simplify right side
    1,065.99x = 1,263,184.26
  5. Step 5: Solve for x
    x = 1,263,184.26/1,065.99
  6. Step 6: Final answer
    x = 1,184.99

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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.