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Finding the Fourth Proportional to 1,024.36, 1,536.54 and 511.24

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Solution

The fourth proportional to 1,024.36, 1,536.54 and 511.24 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.36 : 1,536.54 = 511.24 : x
  2. Step 2: Convert to fraction form
    1,024.36/1,536.54 = 511.24/x
  3. Step 3: Cross multiply
    1,024.36x = 1,536.54 × 511.24
  4. Step 4: Simplify right side
    1,024.36x = 785,540.71
  5. Step 5: Solve for x
    x = 785,540.71/1,024.36
  6. Step 6: Final answer
    x = 766.86

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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.