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Finding the Fourth Proportional to 645.14, 889.69 and 435.35

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Solution

The fourth proportional to 645.14, 889.69 and 435.35 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.14 : 889.69 = 435.35 : x
  2. Step 2: Convert to fraction form
    645.14/889.69 = 435.35/x
  3. Step 3: Cross multiply
    645.14x = 889.69 × 435.35
  4. Step 4: Simplify right side
    645.14x = 387,326.54
  5. Step 5: Solve for x
    x = 387,326.54/645.14
  6. Step 6: Final answer
    x = 600.38

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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.