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Finding the Fourth Proportional to 678.75, 1,011.95 and 637.44

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Solution

The fourth proportional to 678.75, 1,011.95 and 637.44 is: 950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 1,011.95 = 637.44 : x
  2. Step 2: Convert to fraction form
    678.75/1,011.95 = 637.44/x
  3. Step 3: Cross multiply
    678.75x = 1,011.95 × 637.44
  4. Step 4: Simplify right side
    678.75x = 645,059.00
  5. Step 5: Solve for x
    x = 645,059.00/678.75
  6. Step 6: Final answer
    x = 950.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.