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Finding the Fourth Proportional to 800.14, 1,104.21 and 485.45

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Solution

The fourth proportional to 800.14, 1,104.21 and 485.45 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.14 : 1,104.21 = 485.45 : x
  2. Step 2: Convert to fraction form
    800.14/1,104.21 = 485.45/x
  3. Step 3: Cross multiply
    800.14x = 1,104.21 × 485.45
  4. Step 4: Simplify right side
    800.14x = 536,038.74
  5. Step 5: Solve for x
    x = 536,038.74/800.14
  6. Step 6: Final answer
    x = 669.93

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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.