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Finding the Fourth Proportional to 633.70, 945.46 and 564.40

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Solution

The fourth proportional to 633.70, 945.46 and 564.40 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.70 : 945.46 = 564.40 : x
  2. Step 2: Convert to fraction form
    633.70/945.46 = 564.40/x
  3. Step 3: Cross multiply
    633.70x = 945.46 × 564.40
  4. Step 4: Simplify right side
    633.70x = 533,617.62
  5. Step 5: Solve for x
    x = 533,617.62/633.70
  6. Step 6: Final answer
    x = 842.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.