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Finding the Fourth Proportional to 1,259.10, 1,738.32 and 840.06

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Solution

The fourth proportional to 1,259.10, 1,738.32 and 840.06 is: 1,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.10 : 1,738.32 = 840.06 : x
  2. Step 2: Convert to fraction form
    1,259.10/1,738.32 = 840.06/x
  3. Step 3: Cross multiply
    1,259.10x = 1,738.32 × 840.06
  4. Step 4: Simplify right side
    1,259.10x = 1,460,293.10
  5. Step 5: Solve for x
    x = 1,460,293.10/1,259.10
  6. Step 6: Final answer
    x = 1,159.79

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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.