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Finding the Fourth Proportional to 800.16, 1,103.80 and 520.02

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Solution

The fourth proportional to 800.16, 1,103.80 and 520.02 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,103.80 = 520.02 : x
  2. Step 2: Convert to fraction form
    800.16/1,103.80 = 520.02/x
  3. Step 3: Cross multiply
    800.16x = 1,103.80 × 520.02
  4. Step 4: Simplify right side
    800.16x = 573,998.08
  5. Step 5: Solve for x
    x = 573,998.08/800.16
  6. Step 6: Final answer
    x = 717.35

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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.