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Finding the Fourth Proportional to 806.43, 1,112.92 and 570.45

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Solution

The fourth proportional to 806.43, 1,112.92 and 570.45 is: 787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.43 : 1,112.92 = 570.45 : x
  2. Step 2: Convert to fraction form
    806.43/1,112.92 = 570.45/x
  3. Step 3: Cross multiply
    806.43x = 1,112.92 × 570.45
  4. Step 4: Simplify right side
    806.43x = 634,865.21
  5. Step 5: Solve for x
    x = 634,865.21/806.43
  6. Step 6: Final answer
    x = 787.25

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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.