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Finding the Fourth Proportional to 806.68, 1,113.66 and 554.97

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Solution

The fourth proportional to 806.68, 1,113.66 and 554.97 is: 766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.68 : 1,113.66 = 554.97 : x
  2. Step 2: Convert to fraction form
    806.68/1,113.66 = 554.97/x
  3. Step 3: Cross multiply
    806.68x = 1,113.66 × 554.97
  4. Step 4: Simplify right side
    806.68x = 618,047.89
  5. Step 5: Solve for x
    x = 618,047.89/806.68
  6. Step 6: Final answer
    x = 766.16

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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.