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Finding the Fourth Proportional to 1,054.91, 1,575.36 and 1,043.46

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Solution

The fourth proportional to 1,054.91, 1,575.36 and 1,043.46 is: 1,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.91 : 1,575.36 = 1,043.46 : x
  2. Step 2: Convert to fraction form
    1,054.91/1,575.36 = 1,043.46/x
  3. Step 3: Cross multiply
    1,054.91x = 1,575.36 × 1,043.46
  4. Step 4: Simplify right side
    1,054.91x = 1,643,825.15
  5. Step 5: Solve for x
    x = 1,643,825.15/1,054.91
  6. Step 6: Final answer
    x = 1,558.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.