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Finding the Fourth Proportional to 1,009.21, 1,512.42 and 521.26

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Solution

The fourth proportional to 1,009.21, 1,512.42 and 521.26 is: 781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.21 : 1,512.42 = 521.26 : x
  2. Step 2: Convert to fraction form
    1,009.21/1,512.42 = 521.26/x
  3. Step 3: Cross multiply
    1,009.21x = 1,512.42 × 521.26
  4. Step 4: Simplify right side
    1,009.21x = 788,364.05
  5. Step 5: Solve for x
    x = 788,364.05/1,009.21
  6. Step 6: Final answer
    x = 781.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.