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Finding the Fourth Proportional to 940.32, 1,297.44 and 590.40

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Solution

The fourth proportional to 940.32, 1,297.44 and 590.40 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.32 : 1,297.44 = 590.40 : x
  2. Step 2: Convert to fraction form
    940.32/1,297.44 = 590.40/x
  3. Step 3: Cross multiply
    940.32x = 1,297.44 × 590.40
  4. Step 4: Simplify right side
    940.32x = 766,008.58
  5. Step 5: Solve for x
    x = 766,008.58/940.32
  6. Step 6: Final answer
    x = 814.63

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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.