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Finding the Fourth Proportional to 1,263.16, 1,894.80 and 493.84

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Solution

The fourth proportional to 1,263.16, 1,894.80 and 493.84 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.16 : 1,894.80 = 493.84 : x
  2. Step 2: Convert to fraction form
    1,263.16/1,894.80 = 493.84/x
  3. Step 3: Cross multiply
    1,263.16x = 1,894.80 × 493.84
  4. Step 4: Simplify right side
    1,263.16x = 935,728.03
  5. Step 5: Solve for x
    x = 935,728.03/1,263.16
  6. Step 6: Final answer
    x = 740.78

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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.