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Finding the Fourth Proportional to 1,260.10, 1,738.38 and 840.16

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Solution

The fourth proportional to 1,260.10, 1,738.38 and 840.16 is: 1,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.10 : 1,738.38 = 840.16 : x
  2. Step 2: Convert to fraction form
    1,260.10/1,738.38 = 840.16/x
  3. Step 3: Cross multiply
    1,260.10x = 1,738.38 × 840.16
  4. Step 4: Simplify right side
    1,260.10x = 1,460,517.34
  5. Step 5: Solve for x
    x = 1,460,517.34/1,260.10
  6. Step 6: Final answer
    x = 1,159.05

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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.