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Finding the Fourth Proportional to 645.65, 968.48 and 509.42

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Solution

The fourth proportional to 645.65, 968.48 and 509.42 is: 764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.65 : 968.48 = 509.42 : x
  2. Step 2: Convert to fraction form
    645.65/968.48 = 509.42/x
  3. Step 3: Cross multiply
    645.65x = 968.48 × 509.42
  4. Step 4: Simplify right side
    645.65x = 493,355.69
  5. Step 5: Solve for x
    x = 493,355.69/645.65
  6. Step 6: Final answer
    x = 764.13

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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.