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Finding the Fourth Proportional to 715.99, 1,072.16 and 655.85

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Solution

The fourth proportional to 715.99, 1,072.16 and 655.85 is: 982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.99 : 1,072.16 = 655.85 : x
  2. Step 2: Convert to fraction form
    715.99/1,072.16 = 655.85/x
  3. Step 3: Cross multiply
    715.99x = 1,072.16 × 655.85
  4. Step 4: Simplify right side
    715.99x = 703,173.81
  5. Step 5: Solve for x
    x = 703,173.81/715.99
  6. Step 6: Final answer
    x = 982.10

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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.