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Finding the Fourth Proportional to 1,058.87, 1,577.37 and 991.59

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Solution

The fourth proportional to 1,058.87, 1,577.37 and 991.59 is: 1,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.87 : 1,577.37 = 991.59 : x
  2. Step 2: Convert to fraction form
    1,058.87/1,577.37 = 991.59/x
  3. Step 3: Cross multiply
    1,058.87x = 1,577.37 × 991.59
  4. Step 4: Simplify right side
    1,058.87x = 1,564,110.99
  5. Step 5: Solve for x
    x = 1,564,110.99/1,058.87
  6. Step 6: Final answer
    x = 1,477.15

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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.