Home / 1,058.22-1,460.32-586.15

Finding the Fourth Proportional to 1,058.22, 1,460.32 and 586.15

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Solution

The fourth proportional to 1,058.22, 1,460.32 and 586.15 is: 808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.22 : 1,460.32 = 586.15 : x
  2. Step 2: Convert to fraction form
    1,058.22/1,460.32 = 586.15/x
  3. Step 3: Cross multiply
    1,058.22x = 1,460.32 × 586.15
  4. Step 4: Simplify right side
    1,058.22x = 855,966.57
  5. Step 5: Solve for x
    x = 855,966.57/1,058.22
  6. Step 6: Final answer
    x = 808.87

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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.