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Finding the Fourth Proportional to 1,065.23, 1,597.91 and 448.32

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Solution

The fourth proportional to 1,065.23, 1,597.91 and 448.32 is: 672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.23 : 1,597.91 = 448.32 : x
  2. Step 2: Convert to fraction form
    1,065.23/1,597.91 = 448.32/x
  3. Step 3: Cross multiply
    1,065.23x = 1,597.91 × 448.32
  4. Step 4: Simplify right side
    1,065.23x = 716,375.01
  5. Step 5: Solve for x
    x = 716,375.01/1,065.23
  6. Step 6: Final answer
    x = 672.51

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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.