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Finding the Fourth Proportional to 678.08, 1,017.84 and 637.76

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Solution

The fourth proportional to 678.08, 1,017.84 and 637.76 is: 957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 1,017.84 = 637.76 : x
  2. Step 2: Convert to fraction form
    678.08/1,017.84 = 637.76/x
  3. Step 3: Cross multiply
    678.08x = 1,017.84 × 637.76
  4. Step 4: Simplify right side
    678.08x = 649,137.64
  5. Step 5: Solve for x
    x = 649,137.64/678.08
  6. Step 6: Final answer
    x = 957.32

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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.