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Finding the Fourth Proportional to 779.78, 1,076.73 and 531.62

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Solution

The fourth proportional to 779.78, 1,076.73 and 531.62 is: 734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,076.73 = 531.62 : x
  2. Step 2: Convert to fraction form
    779.78/1,076.73 = 531.62/x
  3. Step 3: Cross multiply
    779.78x = 1,076.73 × 531.62
  4. Step 4: Simplify right side
    779.78x = 572,411.20
  5. Step 5: Solve for x
    x = 572,411.20/779.78
  6. Step 6: Final answer
    x = 734.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.