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Finding the Fourth Proportional to 1,015.21, 1,400.97 and 665.88

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Solution

The fourth proportional to 1,015.21, 1,400.97 and 665.88 is: 918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.21 : 1,400.97 = 665.88 : x
  2. Step 2: Convert to fraction form
    1,015.21/1,400.97 = 665.88/x
  3. Step 3: Cross multiply
    1,015.21x = 1,400.97 × 665.88
  4. Step 4: Simplify right side
    1,015.21x = 932,877.90
  5. Step 5: Solve for x
    x = 932,877.90/1,015.21
  6. Step 6: Final answer
    x = 918.90

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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.