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Finding the Fourth Proportional to 1,063.44, 1,458.74 and 1,054.20

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Solution

The fourth proportional to 1,063.44, 1,458.74 and 1,054.20 is: 1,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.44 : 1,458.74 = 1,054.20 : x
  2. Step 2: Convert to fraction form
    1,063.44/1,458.74 = 1,054.20/x
  3. Step 3: Cross multiply
    1,063.44x = 1,458.74 × 1,054.20
  4. Step 4: Simplify right side
    1,063.44x = 1,537,798.44
  5. Step 5: Solve for x
    x = 1,537,798.44/1,063.44
  6. Step 6: Final answer
    x = 1,446.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.