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Finding the Fourth Proportional to 1,058.51, 1,594.96 and 879.91

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Solution

The fourth proportional to 1,058.51, 1,594.96 and 879.91 is: 1,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.51 : 1,594.96 = 879.91 : x
  2. Step 2: Convert to fraction form
    1,058.51/1,594.96 = 879.91/x
  3. Step 3: Cross multiply
    1,058.51x = 1,594.96 × 879.91
  4. Step 4: Simplify right side
    1,058.51x = 1,403,408.88
  5. Step 5: Solve for x
    x = 1,403,408.88/1,058.51
  6. Step 6: Final answer
    x = 1,325.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.