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Finding the Fourth Proportional to 645.95, 890.86 and 435.96

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Solution

The fourth proportional to 645.95, 890.86 and 435.96 is: 601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 890.86 = 435.96 : x
  2. Step 2: Convert to fraction form
    645.95/890.86 = 435.96/x
  3. Step 3: Cross multiply
    645.95x = 890.86 × 435.96
  4. Step 4: Simplify right side
    645.95x = 388,379.33
  5. Step 5: Solve for x
    x = 388,379.33/645.95
  6. Step 6: Final answer
    x = 601.25

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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.