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Finding the Fourth Proportional to 645.26, 960.19 and 643.10

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Solution

The fourth proportional to 645.26, 960.19 and 643.10 is: 956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.26 : 960.19 = 643.10 : x
  2. Step 2: Convert to fraction form
    645.26/960.19 = 643.10/x
  3. Step 3: Cross multiply
    645.26x = 960.19 × 643.10
  4. Step 4: Simplify right side
    645.26x = 617,498.19
  5. Step 5: Solve for x
    x = 617,498.19/645.26
  6. Step 6: Final answer
    x = 956.98

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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.