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Finding the Fourth Proportional to 809.35, 1,118.68 and 589.84

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Solution

The fourth proportional to 809.35, 1,118.68 and 589.84 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.35 : 1,118.68 = 589.84 : x
  2. Step 2: Convert to fraction form
    809.35/1,118.68 = 589.84/x
  3. Step 3: Cross multiply
    809.35x = 1,118.68 × 589.84
  4. Step 4: Simplify right side
    809.35x = 659,837.94
  5. Step 5: Solve for x
    x = 659,837.94/809.35
  6. Step 6: Final answer
    x = 815.27

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Double scale
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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.