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Finding the Fourth Proportional to 806.56, 1,210.02 and 293.56

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Solution

The fourth proportional to 806.56, 1,210.02 and 293.56 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.56 : 1,210.02 = 293.56 : x
  2. Step 2: Convert to fraction form
    806.56/1,210.02 = 293.56/x
  3. Step 3: Cross multiply
    806.56x = 1,210.02 × 293.56
  4. Step 4: Simplify right side
    806.56x = 355,213.47
  5. Step 5: Solve for x
    x = 355,213.47/806.56
  6. Step 6: Final answer
    x = 440.41

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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.