Home / 1,058.21-1,460.31-586.17

Finding the Fourth Proportional to 1,058.21, 1,460.31 and 586.17

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Solution

The fourth proportional to 1,058.21, 1,460.31 and 586.17 is: 808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.21 : 1,460.31 = 586.17 : x
  2. Step 2: Convert to fraction form
    1,058.21/1,460.31 = 586.17/x
  3. Step 3: Cross multiply
    1,058.21x = 1,460.31 × 586.17
  4. Step 4: Simplify right side
    1,058.21x = 855,991.01
  5. Step 5: Solve for x
    x = 855,991.01/1,058.21
  6. Step 6: Final answer
    x = 808.90

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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.