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Finding the Fourth Proportional to 749.76, 1,034.62 and 413.63

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Solution

The fourth proportional to 749.76, 1,034.62 and 413.63 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.76 : 1,034.62 = 413.63 : x
  2. Step 2: Convert to fraction form
    749.76/1,034.62 = 413.63/x
  3. Step 3: Cross multiply
    749.76x = 1,034.62 × 413.63
  4. Step 4: Simplify right side
    749.76x = 427,952.78
  5. Step 5: Solve for x
    x = 427,952.78/749.76
  6. Step 6: Final answer
    x = 570.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.