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Finding the Fourth Proportional to 806.02, 1,111.62 and 556.94

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Solution

The fourth proportional to 806.02, 1,111.62 and 556.94 is: 768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,111.62 = 556.94 : x
  2. Step 2: Convert to fraction form
    806.02/1,111.62 = 556.94/x
  3. Step 3: Cross multiply
    806.02x = 1,111.62 × 556.94
  4. Step 4: Simplify right side
    806.02x = 619,110.51
  5. Step 5: Solve for x
    x = 619,110.51/806.02
  6. Step 6: Final answer
    x = 768.11

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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.