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Finding the Fourth Proportional to 1,004.51, 1,384.77 and 709.27

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Solution

The fourth proportional to 1,004.51, 1,384.77 and 709.27 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.51 : 1,384.77 = 709.27 : x
  2. Step 2: Convert to fraction form
    1,004.51/1,384.77 = 709.27/x
  3. Step 3: Cross multiply
    1,004.51x = 1,384.77 × 709.27
  4. Step 4: Simplify right side
    1,004.51x = 982,175.82
  5. Step 5: Solve for x
    x = 982,175.82/1,004.51
  6. Step 6: Final answer
    x = 977.77

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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.