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Finding the Fourth Proportional to 800.39, 1,104.47 and 464.04

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Solution

The fourth proportional to 800.39, 1,104.47 and 464.04 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,104.47 = 464.04 : x
  2. Step 2: Convert to fraction form
    800.39/1,104.47 = 464.04/x
  3. Step 3: Cross multiply
    800.39x = 1,104.47 × 464.04
  4. Step 4: Simplify right side
    800.39x = 512,518.26
  5. Step 5: Solve for x
    x = 512,518.26/800.39
  6. Step 6: Final answer
    x = 640.34

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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.