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Finding the Fourth Proportional to 645.98, 964.85 and 559.58

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Solution

The fourth proportional to 645.98, 964.85 and 559.58 is: 835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 964.85 = 559.58 : x
  2. Step 2: Convert to fraction form
    645.98/964.85 = 559.58/x
  3. Step 3: Cross multiply
    645.98x = 964.85 × 559.58
  4. Step 4: Simplify right side
    645.98x = 539,903.14
  5. Step 5: Solve for x
    x = 539,903.14/645.98
  6. Step 6: Final answer
    x = 835.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.