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Finding the Fourth Proportional to 633.63, 949.33 and 564.83

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Solution

The fourth proportional to 633.63, 949.33 and 564.83 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.63 : 949.33 = 564.83 : x
  2. Step 2: Convert to fraction form
    633.63/949.33 = 564.83/x
  3. Step 3: Cross multiply
    633.63x = 949.33 × 564.83
  4. Step 4: Simplify right side
    633.63x = 536,210.06
  5. Step 5: Solve for x
    x = 536,210.06/633.63
  6. Step 6: Final answer
    x = 846.25

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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.