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Finding the Fourth Proportional to 645.23, 968.53 and 401.93

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Solution

The fourth proportional to 645.23, 968.53 and 401.93 is: 603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 968.53 = 401.93 : x
  2. Step 2: Convert to fraction form
    645.23/968.53 = 401.93/x
  3. Step 3: Cross multiply
    645.23x = 968.53 × 401.93
  4. Step 4: Simplify right side
    645.23x = 389,274.41
  5. Step 5: Solve for x
    x = 389,274.41/645.23
  6. Step 6: Final answer
    x = 603.31

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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.