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Finding the Fourth Proportional to 699.16, 964.67 and 559.39

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Solution

The fourth proportional to 699.16, 964.67 and 559.39 is: 771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.16 : 964.67 = 559.39 : x
  2. Step 2: Convert to fraction form
    699.16/964.67 = 559.39/x
  3. Step 3: Cross multiply
    699.16x = 964.67 × 559.39
  4. Step 4: Simplify right side
    699.16x = 539,631.35
  5. Step 5: Solve for x
    x = 539,631.35/699.16
  6. Step 6: Final answer
    x = 771.83

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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.