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Finding the Fourth Proportional to 800.02, 1,104.12 and 485.50

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Solution

The fourth proportional to 800.02, 1,104.12 and 485.50 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,104.12 = 485.50 : x
  2. Step 2: Convert to fraction form
    800.02/1,104.12 = 485.50/x
  3. Step 3: Cross multiply
    800.02x = 1,104.12 × 485.50
  4. Step 4: Simplify right side
    800.02x = 536,050.26
  5. Step 5: Solve for x
    x = 536,050.26/800.02
  6. Step 6: Final answer
    x = 670.05

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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.