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Finding the Fourth Proportional to 1,058.60, 1,463.28 and 978.32

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Solution

The fourth proportional to 1,058.60, 1,463.28 and 978.32 is: 1,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.60 : 1,463.28 = 978.32 : x
  2. Step 2: Convert to fraction form
    1,058.60/1,463.28 = 978.32/x
  3. Step 3: Cross multiply
    1,058.60x = 1,463.28 × 978.32
  4. Step 4: Simplify right side
    1,058.60x = 1,431,556.09
  5. Step 5: Solve for x
    x = 1,431,556.09/1,058.60
  6. Step 6: Final answer
    x = 1,352.31

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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.