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Finding the Fourth Proportional to 1,058.56, 1,461 and 709.30

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Solution

The fourth proportional to 1,058.56, 1,461 and 709.30 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.56 : 1,461 = 709.30 : x
  2. Step 2: Convert to fraction form
    1,058.56/1,461 = 709.30/x
  3. Step 3: Cross multiply
    1,058.56x = 1,461 × 709.30
  4. Step 4: Simplify right side
    1,058.56x = 1,036,287.30
  5. Step 5: Solve for x
    x = 1,036,287.30/1,058.56
  6. Step 6: Final answer
    x = 978.96

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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.