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Finding the Fourth Proportional to 806.76, 1,210.26 and 286.93

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Solution

The fourth proportional to 806.76, 1,210.26 and 286.93 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,210.26 = 286.93 : x
  2. Step 2: Convert to fraction form
    806.76/1,210.26 = 286.93/x
  3. Step 3: Cross multiply
    806.76x = 1,210.26 × 286.93
  4. Step 4: Simplify right side
    806.76x = 347,252.42
  5. Step 5: Solve for x
    x = 347,252.42/806.76
  6. Step 6: Final answer
    x = 430.43

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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.