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Finding the Fourth Proportional to 1,103.57, 1,646.95 and 1,058.90

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Solution

The fourth proportional to 1,103.57, 1,646.95 and 1,058.90 is: 1,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.57 : 1,646.95 = 1,058.90 : x
  2. Step 2: Convert to fraction form
    1,103.57/1,646.95 = 1,058.90/x
  3. Step 3: Cross multiply
    1,103.57x = 1,646.95 × 1,058.90
  4. Step 4: Simplify right side
    1,103.57x = 1,743,956.83
  5. Step 5: Solve for x
    x = 1,743,956.83/1,103.57
  6. Step 6: Final answer
    x = 1,580.29

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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.