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Finding the Fourth Proportional to 1,058.90, 1,459.59 and 834.47

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Solution

The fourth proportional to 1,058.90, 1,459.59 and 834.47 is: 1,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.90 : 1,459.59 = 834.47 : x
  2. Step 2: Convert to fraction form
    1,058.90/1,459.59 = 834.47/x
  3. Step 3: Cross multiply
    1,058.90x = 1,459.59 × 834.47
  4. Step 4: Simplify right side
    1,058.90x = 1,217,987.32
  5. Step 5: Solve for x
    x = 1,217,987.32/1,058.90
  6. Step 6: Final answer
    x = 1,150.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.