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Finding the Fourth Proportional to 1,021, 1,531.56 and 290.51

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Solution

The fourth proportional to 1,021, 1,531.56 and 290.51 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021 : 1,531.56 = 290.51 : x
  2. Step 2: Convert to fraction form
    1,021/1,531.56 = 290.51/x
  3. Step 3: Cross multiply
    1,021x = 1,531.56 × 290.51
  4. Step 4: Simplify right side
    1,021x = 444,933.50
  5. Step 5: Solve for x
    x = 444,933.50/1,021
  6. Step 6: Final answer
    x = 435.78

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Double scale
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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.