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Finding the Fourth Proportional to 581.14, 800.84 and 406.18

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Solution

The fourth proportional to 581.14, 800.84 and 406.18 is: 559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 800.84 = 406.18 : x
  2. Step 2: Convert to fraction form
    581.14/800.84 = 406.18/x
  3. Step 3: Cross multiply
    581.14x = 800.84 × 406.18
  4. Step 4: Simplify right side
    581.14x = 325,285.19
  5. Step 5: Solve for x
    x = 325,285.19/581.14
  6. Step 6: Final answer
    x = 559.74

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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.