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Finding the Fourth Proportional to 2,710.63, 4,065.94 and 658.63

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Solution

The fourth proportional to 2,710.63, 4,065.94 and 658.63 is: 987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.63 : 4,065.94 = 658.63 : x
  2. Step 2: Convert to fraction form
    2,710.63/4,065.94 = 658.63/x
  3. Step 3: Cross multiply
    2,710.63x = 4,065.94 × 658.63
  4. Step 4: Simplify right side
    2,710.63x = 2,677,929.73
  5. Step 5: Solve for x
    x = 2,677,929.73/2,710.63
  6. Step 6: Final answer
    x = 987.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.