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Finding the Fourth Proportional to 1,004.52, 1,384.62 and 709.32

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Solution

The fourth proportional to 1,004.52, 1,384.62 and 709.32 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.52 : 1,384.62 = 709.32 : x
  2. Step 2: Convert to fraction form
    1,004.52/1,384.62 = 709.32/x
  3. Step 3: Cross multiply
    1,004.52x = 1,384.62 × 709.32
  4. Step 4: Simplify right side
    1,004.52x = 982,138.66
  5. Step 5: Solve for x
    x = 982,138.66/1,004.52
  6. Step 6: Final answer
    x = 977.72

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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.