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Finding the Fourth Proportional to 942.51, 1,411.72 and 576.19

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Solution

The fourth proportional to 942.51, 1,411.72 and 576.19 is: 863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.51 : 1,411.72 = 576.19 : x
  2. Step 2: Convert to fraction form
    942.51/1,411.72 = 576.19/x
  3. Step 3: Cross multiply
    942.51x = 1,411.72 × 576.19
  4. Step 4: Simplify right side
    942.51x = 813,413.98
  5. Step 5: Solve for x
    x = 813,413.98/942.51
  6. Step 6: Final answer
    x = 863.03

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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.