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Finding the Fourth Proportional to 800.02, 1,104.03 and 463.99

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Solution

The fourth proportional to 800.02, 1,104.03 and 463.99 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,104.03 = 463.99 : x
  2. Step 2: Convert to fraction form
    800.02/1,104.03 = 463.99/x
  3. Step 3: Cross multiply
    800.02x = 1,104.03 × 463.99
  4. Step 4: Simplify right side
    800.02x = 512,258.19
  5. Step 5: Solve for x
    x = 512,258.19/800.02
  6. Step 6: Final answer
    x = 640.31

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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.