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Finding the Fourth Proportional to 811, 1,119.16 and 590.89

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Solution

The fourth proportional to 811, 1,119.16 and 590.89 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,119.16 = 590.89 : x
  2. Step 2: Convert to fraction form
    811/1,119.16 = 590.89/x
  3. Step 3: Cross multiply
    811x = 1,119.16 × 590.89
  4. Step 4: Simplify right side
    811x = 661,291.90
  5. Step 5: Solve for x
    x = 661,291.90/811
  6. Step 6: Final answer
    x = 815.40

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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.