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Finding the Fourth Proportional to 779.92, 1,076.26 and 430.60

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Solution

The fourth proportional to 779.92, 1,076.26 and 430.60 is: 594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.92 : 1,076.26 = 430.60 : x
  2. Step 2: Convert to fraction form
    779.92/1,076.26 = 430.60/x
  3. Step 3: Cross multiply
    779.92x = 1,076.26 × 430.60
  4. Step 4: Simplify right side
    779.92x = 463,437.56
  5. Step 5: Solve for x
    x = 463,437.56/779.92
  6. Step 6: Final answer
    x = 594.21

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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.