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Finding the Fourth Proportional to 942.59, 1,413.89 and 509.64

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Solution

The fourth proportional to 942.59, 1,413.89 and 509.64 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.59 : 1,413.89 = 509.64 : x
  2. Step 2: Convert to fraction form
    942.59/1,413.89 = 509.64/x
  3. Step 3: Cross multiply
    942.59x = 1,413.89 × 509.64
  4. Step 4: Simplify right side
    942.59x = 720,572.35
  5. Step 5: Solve for x
    x = 720,572.35/942.59
  6. Step 6: Final answer
    x = 764.46

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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.