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Finding the Fourth Proportional to 769.66, 1,062.10 and 420.35

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Solution

The fourth proportional to 769.66, 1,062.10 and 420.35 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.66 : 1,062.10 = 420.35 : x
  2. Step 2: Convert to fraction form
    769.66/1,062.10 = 420.35/x
  3. Step 3: Cross multiply
    769.66x = 1,062.10 × 420.35
  4. Step 4: Simplify right side
    769.66x = 446,446.59
  5. Step 5: Solve for x
    x = 446,446.59/769.66
  6. Step 6: Final answer
    x = 580.06

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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.