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Finding the Fourth Proportional to 945.10, 1,413.93 and 621.10

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Solution

The fourth proportional to 945.10, 1,413.93 and 621.10 is: 929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,413.93 = 621.10 : x
  2. Step 2: Convert to fraction form
    945.10/1,413.93 = 621.10/x
  3. Step 3: Cross multiply
    945.10x = 1,413.93 × 621.10
  4. Step 4: Simplify right side
    945.10x = 878,191.92
  5. Step 5: Solve for x
    x = 878,191.92/945.10
  6. Step 6: Final answer
    x = 929.21

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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.