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Finding the Fourth Proportional to 699.99, 965.93 and 649.72

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Solution

The fourth proportional to 699.99, 965.93 and 649.72 is: 896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.99 : 965.93 = 649.72 : x
  2. Step 2: Convert to fraction form
    699.99/965.93 = 649.72/x
  3. Step 3: Cross multiply
    699.99x = 965.93 × 649.72
  4. Step 4: Simplify right side
    699.99x = 627,582.00
  5. Step 5: Solve for x
    x = 627,582.00/699.99
  6. Step 6: Final answer
    x = 896.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.