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Finding the Fourth Proportional to 1,058.13, 1,587.66 and 441.98

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Solution

The fourth proportional to 1,058.13, 1,587.66 and 441.98 is: 663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.13 : 1,587.66 = 441.98 : x
  2. Step 2: Convert to fraction form
    1,058.13/1,587.66 = 441.98/x
  3. Step 3: Cross multiply
    1,058.13x = 1,587.66 × 441.98
  4. Step 4: Simplify right side
    1,058.13x = 701,713.97
  5. Step 5: Solve for x
    x = 701,713.97/1,058.13
  6. Step 6: Final answer
    x = 663.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.