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Finding the Fourth Proportional to 944.42, 1,413.78 and 510.26

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Solution

The fourth proportional to 944.42, 1,413.78 and 510.26 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.42 : 1,413.78 = 510.26 : x
  2. Step 2: Convert to fraction form
    944.42/1,413.78 = 510.26/x
  3. Step 3: Cross multiply
    944.42x = 1,413.78 × 510.26
  4. Step 4: Simplify right side
    944.42x = 721,395.38
  5. Step 5: Solve for x
    x = 721,395.38/944.42
  6. Step 6: Final answer
    x = 763.85

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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.