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Finding the Fourth Proportional to 699.49, 964.87 and 580.96

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Solution

The fourth proportional to 699.49, 964.87 and 580.96 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.49 : 964.87 = 580.96 : x
  2. Step 2: Convert to fraction form
    699.49/964.87 = 580.96/x
  3. Step 3: Cross multiply
    699.49x = 964.87 × 580.96
  4. Step 4: Simplify right side
    699.49x = 560,550.88
  5. Step 5: Solve for x
    x = 560,550.88/699.49
  6. Step 6: Final answer
    x = 801.37

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1.5x scale

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.