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Finding the Fourth Proportional to 863.94, 1,192.25 and 470.98

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Solution

The fourth proportional to 863.94, 1,192.25 and 470.98 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,192.25 = 470.98 : x
  2. Step 2: Convert to fraction form
    863.94/1,192.25 = 470.98/x
  3. Step 3: Cross multiply
    863.94x = 1,192.25 × 470.98
  4. Step 4: Simplify right side
    863.94x = 561,525.91
  5. Step 5: Solve for x
    x = 561,525.91/863.94
  6. Step 6: Final answer
    x = 649.96

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1.5x scale

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.