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Finding the Fourth Proportional to 1,058.30, 1,460.54 and 586.31

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Solution

The fourth proportional to 1,058.30, 1,460.54 and 586.31 is: 809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.30 : 1,460.54 = 586.31 : x
  2. Step 2: Convert to fraction form
    1,058.30/1,460.54 = 586.31/x
  3. Step 3: Cross multiply
    1,058.30x = 1,460.54 × 586.31
  4. Step 4: Simplify right side
    1,058.30x = 856,318.97
  5. Step 5: Solve for x
    x = 856,318.97/1,058.30
  6. Step 6: Final answer
    x = 809.15

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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.