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Finding the Fourth Proportional to 803.06, 1,202.85 and 391.34

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Solution

The fourth proportional to 803.06, 1,202.85 and 391.34 is: 586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.06 : 1,202.85 = 391.34 : x
  2. Step 2: Convert to fraction form
    803.06/1,202.85 = 391.34/x
  3. Step 3: Cross multiply
    803.06x = 1,202.85 × 391.34
  4. Step 4: Simplify right side
    803.06x = 470,723.32
  5. Step 5: Solve for x
    x = 470,723.32/803.06
  6. Step 6: Final answer
    x = 586.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.