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Finding the Fourth Proportional to 806.57, 1,210.26 and 601.55

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Solution

The fourth proportional to 806.57, 1,210.26 and 601.55 is: 902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.57 : 1,210.26 = 601.55 : x
  2. Step 2: Convert to fraction form
    806.57/1,210.26 = 601.55/x
  3. Step 3: Cross multiply
    806.57x = 1,210.26 × 601.55
  4. Step 4: Simplify right side
    806.57x = 728,037.18
  5. Step 5: Solve for x
    x = 728,037.18/806.57
  6. Step 6: Final answer
    x = 902.63

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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.