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Finding the Fourth Proportional to 1,054.11, 1,580.59 and 879.83

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Solution

The fourth proportional to 1,054.11, 1,580.59 and 879.83 is: 1,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.11 : 1,580.59 = 879.83 : x
  2. Step 2: Convert to fraction form
    1,054.11/1,580.59 = 879.83/x
  3. Step 3: Cross multiply
    1,054.11x = 1,580.59 × 879.83
  4. Step 4: Simplify right side
    1,054.11x = 1,390,650.50
  5. Step 5: Solve for x
    x = 1,390,650.50/1,054.11
  6. Step 6: Final answer
    x = 1,319.27

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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.