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Finding the Fourth Proportional to 806.57, 1,112.98 and 491.69

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Solution

The fourth proportional to 806.57, 1,112.98 and 491.69 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.57 : 1,112.98 = 491.69 : x
  2. Step 2: Convert to fraction form
    806.57/1,112.98 = 491.69/x
  3. Step 3: Cross multiply
    806.57x = 1,112.98 × 491.69
  4. Step 4: Simplify right side
    806.57x = 547,235.57
  5. Step 5: Solve for x
    x = 547,235.57/806.57
  6. Step 6: Final answer
    x = 678.47

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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.