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Finding the Fourth Proportional to 940.10, 1,296.81 and 590.18

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Solution

The fourth proportional to 940.10, 1,296.81 and 590.18 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,296.81 = 590.18 : x
  2. Step 2: Convert to fraction form
    940.10/1,296.81 = 590.18/x
  3. Step 3: Cross multiply
    940.10x = 1,296.81 × 590.18
  4. Step 4: Simplify right side
    940.10x = 765,351.33
  5. Step 5: Solve for x
    x = 765,351.33/940.10
  6. Step 6: Final answer
    x = 814.12

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1.5x scale

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.