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Finding the Fourth Proportional to 633.63, 948.76 and 509.62

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Solution

The fourth proportional to 633.63, 948.76 and 509.62 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.63 : 948.76 = 509.62 : x
  2. Step 2: Convert to fraction form
    633.63/948.76 = 509.62/x
  3. Step 3: Cross multiply
    633.63x = 948.76 × 509.62
  4. Step 4: Simplify right side
    633.63x = 483,507.07
  5. Step 5: Solve for x
    x = 483,507.07/633.63
  6. Step 6: Final answer
    x = 763.07

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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.