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Finding the Fourth Proportional to 630.12, 944.78 and 413.45

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Solution

The fourth proportional to 630.12, 944.78 and 413.45 is: 619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.12 : 944.78 = 413.45 : x
  2. Step 2: Convert to fraction form
    630.12/944.78 = 413.45/x
  3. Step 3: Cross multiply
    630.12x = 944.78 × 413.45
  4. Step 4: Simplify right side
    630.12x = 390,612.50
  5. Step 5: Solve for x
    x = 390,612.50/630.12
  6. Step 6: Final answer
    x = 619.90

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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.