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Finding the Fourth Proportional to 630.40, 944.52 and 413.60

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Solution

The fourth proportional to 630.40, 944.52 and 413.60 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 944.52 = 413.60 : x
  2. Step 2: Convert to fraction form
    630.40/944.52 = 413.60/x
  3. Step 3: Cross multiply
    630.40x = 944.52 × 413.60
  4. Step 4: Simplify right side
    630.40x = 390,653.47
  5. Step 5: Solve for x
    x = 390,653.47/630.40
  6. Step 6: Final answer
    x = 619.69

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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.