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Finding the Fourth Proportional to 633.33, 948.60 and 413.40

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Solution

The fourth proportional to 633.33, 948.60 and 413.40 is: 619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.33 : 948.60 = 413.40 : x
  2. Step 2: Convert to fraction form
    633.33/948.60 = 413.40/x
  3. Step 3: Cross multiply
    633.33x = 948.60 × 413.40
  4. Step 4: Simplify right side
    633.33x = 392,151.24
  5. Step 5: Solve for x
    x = 392,151.24/633.33
  6. Step 6: Final answer
    x = 619.19

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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.