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Finding the Fourth Proportional to 645.15, 968.07 and 610.29

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Solution

The fourth proportional to 645.15, 968.07 and 610.29 is: 915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.15 : 968.07 = 610.29 : x
  2. Step 2: Convert to fraction form
    645.15/968.07 = 610.29/x
  3. Step 3: Cross multiply
    645.15x = 968.07 × 610.29
  4. Step 4: Simplify right side
    645.15x = 590,803.44
  5. Step 5: Solve for x
    x = 590,803.44/645.15
  6. Step 6: Final answer
    x = 915.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.