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Finding the Fourth Proportional to 1,090.47, 1,638.95 and 513.75

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Solution

The fourth proportional to 1,090.47, 1,638.95 and 513.75 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.47 : 1,638.95 = 513.75 : x
  2. Step 2: Convert to fraction form
    1,090.47/1,638.95 = 513.75/x
  3. Step 3: Cross multiply
    1,090.47x = 1,638.95 × 513.75
  4. Step 4: Simplify right side
    1,090.47x = 842,010.56
  5. Step 5: Solve for x
    x = 842,010.56/1,090.47
  6. Step 6: Final answer
    x = 772.15

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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.