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Finding the Fourth Proportional to 1,076.07, 1,484.49 and 656.09

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Solution

The fourth proportional to 1,076.07, 1,484.49 and 656.09 is: 905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.07 : 1,484.49 = 656.09 : x
  2. Step 2: Convert to fraction form
    1,076.07/1,484.49 = 656.09/x
  3. Step 3: Cross multiply
    1,076.07x = 1,484.49 × 656.09
  4. Step 4: Simplify right side
    1,076.07x = 973,959.04
  5. Step 5: Solve for x
    x = 973,959.04/1,076.07
  6. Step 6: Final answer
    x = 905.11

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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.