Home / 1,058.19-1,460.38-586.16

Finding the Fourth Proportional to 1,058.19, 1,460.38 and 586.16

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Solution

The fourth proportional to 1,058.19, 1,460.38 and 586.16 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.19 : 1,460.38 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,058.19/1,460.38 = 586.16/x
  3. Step 3: Cross multiply
    1,058.19x = 1,460.38 × 586.16
  4. Step 4: Simplify right side
    1,058.19x = 856,018.53
  5. Step 5: Solve for x
    x = 856,018.53/1,058.19
  6. Step 6: Final answer
    x = 808.95

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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.