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Finding the Fourth Proportional to 633.16, 948.68 and 609.16

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Solution

The fourth proportional to 633.16, 948.68 and 609.16 is: 912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.16 : 948.68 = 609.16 : x
  2. Step 2: Convert to fraction form
    633.16/948.68 = 609.16/x
  3. Step 3: Cross multiply
    633.16x = 948.68 × 609.16
  4. Step 4: Simplify right side
    633.16x = 577,897.91
  5. Step 5: Solve for x
    x = 577,897.91/633.16
  6. Step 6: Final answer
    x = 912.72

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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.