Home / 1,058.36-1,460.40-586.14

Finding the Fourth Proportional to 1,058.36, 1,460.40 and 586.14

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Solution

The fourth proportional to 1,058.36, 1,460.40 and 586.14 is: 808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.36 : 1,460.40 = 586.14 : x
  2. Step 2: Convert to fraction form
    1,058.36/1,460.40 = 586.14/x
  3. Step 3: Cross multiply
    1,058.36x = 1,460.40 × 586.14
  4. Step 4: Simplify right side
    1,058.36x = 856,003.97
  5. Step 5: Solve for x
    x = 856,003.97/1,058.36
  6. Step 6: Final answer
    x = 808.80

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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.