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Finding the Fourth Proportional to 940.03, 1,296.94 and 585.93

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Solution

The fourth proportional to 940.03, 1,296.94 and 585.93 is: 808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.03 : 1,296.94 = 585.93 : x
  2. Step 2: Convert to fraction form
    940.03/1,296.94 = 585.93/x
  3. Step 3: Cross multiply
    940.03x = 1,296.94 × 585.93
  4. Step 4: Simplify right side
    940.03x = 759,918.90
  5. Step 5: Solve for x
    x = 759,918.90/940.03
  6. Step 6: Final answer
    x = 808.40

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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.