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Finding the Fourth Proportional to 633.06, 948.33 and 390.06

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Solution

The fourth proportional to 633.06, 948.33 and 390.06 is: 584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 948.33 = 390.06 : x
  2. Step 2: Convert to fraction form
    633.06/948.33 = 390.06/x
  3. Step 3: Cross multiply
    633.06x = 948.33 × 390.06
  4. Step 4: Simplify right side
    633.06x = 369,905.60
  5. Step 5: Solve for x
    x = 369,905.60/633.06
  6. Step 6: Final answer
    x = 584.31

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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.