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Finding the Fourth Proportional to 1,180.03, 1,628.52 and 781.01

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Solution

The fourth proportional to 1,180.03, 1,628.52 and 781.01 is: 1,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.03 : 1,628.52 = 781.01 : x
  2. Step 2: Convert to fraction form
    1,180.03/1,628.52 = 781.01/x
  3. Step 3: Cross multiply
    1,180.03x = 1,628.52 × 781.01
  4. Step 4: Simplify right side
    1,180.03x = 1,271,882.26
  5. Step 5: Solve for x
    x = 1,271,882.26/1,180.03
  6. Step 6: Final answer
    x = 1,077.84

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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.