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Finding the Fourth Proportional to 770.14, 1,062.81 and 420.83

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Solution

The fourth proportional to 770.14, 1,062.81 and 420.83 is: 580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,062.81 = 420.83 : x
  2. Step 2: Convert to fraction form
    770.14/1,062.81 = 420.83/x
  3. Step 3: Cross multiply
    770.14x = 1,062.81 × 420.83
  4. Step 4: Simplify right side
    770.14x = 447,260.23
  5. Step 5: Solve for x
    x = 447,260.23/770.14
  6. Step 6: Final answer
    x = 580.75

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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.