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Finding the Fourth Proportional to 1,360.40, 1,876.16 and 940.01

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Solution

The fourth proportional to 1,360.40, 1,876.16 and 940.01 is: 1,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.40 : 1,876.16 = 940.01 : x
  2. Step 2: Convert to fraction form
    1,360.40/1,876.16 = 940.01/x
  3. Step 3: Cross multiply
    1,360.40x = 1,876.16 × 940.01
  4. Step 4: Simplify right side
    1,360.40x = 1,763,602.13
  5. Step 5: Solve for x
    x = 1,763,602.13/1,360.40
  6. Step 6: Final answer
    x = 1,296.39

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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.