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Finding the Fourth Proportional to 940.76, 1,297.86 and 590.84

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Solution

The fourth proportional to 940.76, 1,297.86 and 590.84 is: 815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,297.86 = 590.84 : x
  2. Step 2: Convert to fraction form
    940.76/1,297.86 = 590.84/x
  3. Step 3: Cross multiply
    940.76x = 1,297.86 × 590.84
  4. Step 4: Simplify right side
    940.76x = 766,827.60
  5. Step 5: Solve for x
    x = 766,827.60/940.76
  6. Step 6: Final answer
    x = 815.12

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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.