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Finding the Fourth Proportional to 842.93, 1,263.74 and 565.57

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Solution

The fourth proportional to 842.93, 1,263.74 and 565.57 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.93 : 1,263.74 = 565.57 : x
  2. Step 2: Convert to fraction form
    842.93/1,263.74 = 565.57/x
  3. Step 3: Cross multiply
    842.93x = 1,263.74 × 565.57
  4. Step 4: Simplify right side
    842.93x = 714,727.44
  5. Step 5: Solve for x
    x = 714,727.44/842.93
  6. Step 6: Final answer
    x = 847.91

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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.