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Finding the Fourth Proportional to 1,058.94, 1,585.53 and 919.44

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Solution

The fourth proportional to 1,058.94, 1,585.53 and 919.44 is: 1,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.94 : 1,585.53 = 919.44 : x
  2. Step 2: Convert to fraction form
    1,058.94/1,585.53 = 919.44/x
  3. Step 3: Cross multiply
    1,058.94x = 1,585.53 × 919.44
  4. Step 4: Simplify right side
    1,058.94x = 1,457,799.70
  5. Step 5: Solve for x
    x = 1,457,799.70/1,058.94
  6. Step 6: Final answer
    x = 1,376.66

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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.