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Finding the Fourth Proportional to 1,328.78, 1,992.37 and 507.11

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Solution

The fourth proportional to 1,328.78, 1,992.37 and 507.11 is: 760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.78 : 1,992.37 = 507.11 : x
  2. Step 2: Convert to fraction form
    1,328.78/1,992.37 = 507.11/x
  3. Step 3: Cross multiply
    1,328.78x = 1,992.37 × 507.11
  4. Step 4: Simplify right side
    1,328.78x = 1,010,348.22
  5. Step 5: Solve for x
    x = 1,010,348.22/1,328.78
  6. Step 6: Final answer
    x = 760.36

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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.