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Finding the Fourth Proportional to 1,065.50, 1,596.62 and 448.87

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Solution

The fourth proportional to 1,065.50, 1,596.62 and 448.87 is: 672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.50 : 1,596.62 = 448.87 : x
  2. Step 2: Convert to fraction form
    1,065.50/1,596.62 = 448.87/x
  3. Step 3: Cross multiply
    1,065.50x = 1,596.62 × 448.87
  4. Step 4: Simplify right side
    1,065.50x = 716,665.71
  5. Step 5: Solve for x
    x = 716,665.71/1,065.50
  6. Step 6: Final answer
    x = 672.61

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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.