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Finding the Fourth Proportional to 1,113.64, 1,659.17 and 1,058.56

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Solution

The fourth proportional to 1,113.64, 1,659.17 and 1,058.56 is: 1,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.64 : 1,659.17 = 1,058.56 : x
  2. Step 2: Convert to fraction form
    1,113.64/1,659.17 = 1,058.56/x
  3. Step 3: Cross multiply
    1,113.64x = 1,659.17 × 1,058.56
  4. Step 4: Simplify right side
    1,113.64x = 1,756,331.00
  5. Step 5: Solve for x
    x = 1,756,331.00/1,113.64
  6. Step 6: Final answer
    x = 1,577.11

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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.