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Finding the Fourth Proportional to 1,058.13, 1,580.51 and 894.11

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Solution

The fourth proportional to 1,058.13, 1,580.51 and 894.11 is: 1,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.13 : 1,580.51 = 894.11 : x
  2. Step 2: Convert to fraction form
    1,058.13/1,580.51 = 894.11/x
  3. Step 3: Cross multiply
    1,058.13x = 1,580.51 × 894.11
  4. Step 4: Simplify right side
    1,058.13x = 1,413,144.13
  5. Step 5: Solve for x
    x = 1,413,144.13/1,058.13
  6. Step 6: Final answer
    x = 1,335.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.