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Finding the Fourth Proportional to 800.35, 1,106.26 and 580.84

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Solution

The fourth proportional to 800.35, 1,106.26 and 580.84 is: 802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.35 : 1,106.26 = 580.84 : x
  2. Step 2: Convert to fraction form
    800.35/1,106.26 = 580.84/x
  3. Step 3: Cross multiply
    800.35x = 1,106.26 × 580.84
  4. Step 4: Simplify right side
    800.35x = 642,555.84
  5. Step 5: Solve for x
    x = 642,555.84/800.35
  6. Step 6: Final answer
    x = 802.85

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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.