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Finding the Fourth Proportional to 770.18, 1,062.83 and 455.44

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Solution

The fourth proportional to 770.18, 1,062.83 and 455.44 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.18 : 1,062.83 = 455.44 : x
  2. Step 2: Convert to fraction form
    770.18/1,062.83 = 455.44/x
  3. Step 3: Cross multiply
    770.18x = 1,062.83 × 455.44
  4. Step 4: Simplify right side
    770.18x = 484,055.30
  5. Step 5: Solve for x
    x = 484,055.30/770.18
  6. Step 6: Final answer
    x = 628.50

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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.