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Finding the Fourth Proportional to 990.88, 1,487.02 and 413.76

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Solution

The fourth proportional to 990.88, 1,487.02 and 413.76 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.88 : 1,487.02 = 413.76 : x
  2. Step 2: Convert to fraction form
    990.88/1,487.02 = 413.76/x
  3. Step 3: Cross multiply
    990.88x = 1,487.02 × 413.76
  4. Step 4: Simplify right side
    990.88x = 615,269.40
  5. Step 5: Solve for x
    x = 615,269.40/990.88
  6. Step 6: Final answer
    x = 620.93

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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.