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Finding the Fourth Proportional to 645.57, 960.59 and 643.41

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Solution

The fourth proportional to 645.57, 960.59 and 643.41 is: 957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 960.59 = 643.41 : x
  2. Step 2: Convert to fraction form
    645.57/960.59 = 643.41/x
  3. Step 3: Cross multiply
    645.57x = 960.59 × 643.41
  4. Step 4: Simplify right side
    645.57x = 618,053.21
  5. Step 5: Solve for x
    x = 618,053.21/645.57
  6. Step 6: Final answer
    x = 957.38

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1.5x scale

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.