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Finding the Fourth Proportional to 943, 1,413.78 and 509.56

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Solution

The fourth proportional to 943, 1,413.78 and 509.56 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    943 : 1,413.78 = 509.56 : x
  2. Step 2: Convert to fraction form
    943/1,413.78 = 509.56/x
  3. Step 3: Cross multiply
    943x = 1,413.78 × 509.56
  4. Step 4: Simplify right side
    943x = 720,405.74
  5. Step 5: Solve for x
    x = 720,405.74/943
  6. Step 6: Final answer
    x = 763.95

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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.