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Finding the Fourth Proportional to 722.99, 1,078.81 and 678.92

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Solution

The fourth proportional to 722.99, 1,078.81 and 678.92 is: 1,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.99 : 1,078.81 = 678.92 : x
  2. Step 2: Convert to fraction form
    722.99/1,078.81 = 678.92/x
  3. Step 3: Cross multiply
    722.99x = 1,078.81 × 678.92
  4. Step 4: Simplify right side
    722.99x = 732,420.29
  5. Step 5: Solve for x
    x = 732,420.29/722.99
  6. Step 6: Final answer
    x = 1,013.04

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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.