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Finding the Fourth Proportional to 646.02, 967.41 and 509.81

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Solution

The fourth proportional to 646.02, 967.41 and 509.81 is: 763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 967.41 = 509.81 : x
  2. Step 2: Convert to fraction form
    646.02/967.41 = 509.81/x
  3. Step 3: Cross multiply
    646.02x = 967.41 × 509.81
  4. Step 4: Simplify right side
    646.02x = 493,190.46
  5. Step 5: Solve for x
    x = 493,190.46/646.02
  6. Step 6: Final answer
    x = 763.43

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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.