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Finding the Fourth Proportional to 633, 954.39 and 506.28

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Solution

The fourth proportional to 633, 954.39 and 506.28 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 954.39 = 506.28 : x
  2. Step 2: Convert to fraction form
    633/954.39 = 506.28/x
  3. Step 3: Cross multiply
    633x = 954.39 × 506.28
  4. Step 4: Simplify right side
    633x = 483,188.57
  5. Step 5: Solve for x
    x = 483,188.57/633
  6. Step 6: Final answer
    x = 763.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.