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Finding the Fourth Proportional to 720.68, 998.56 and 705.12

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Solution

The fourth proportional to 720.68, 998.56 and 705.12 is: 977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.68 : 998.56 = 705.12 : x
  2. Step 2: Convert to fraction form
    720.68/998.56 = 705.12/x
  3. Step 3: Cross multiply
    720.68x = 998.56 × 705.12
  4. Step 4: Simplify right side
    720.68x = 704,107.38
  5. Step 5: Solve for x
    x = 704,107.38/720.68
  6. Step 6: Final answer
    x = 977.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.