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Finding the Fourth Proportional to 754.77, 1,042.10 and 493.23

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Solution

The fourth proportional to 754.77, 1,042.10 and 493.23 is: 681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.77 : 1,042.10 = 493.23 : x
  2. Step 2: Convert to fraction form
    754.77/1,042.10 = 493.23/x
  3. Step 3: Cross multiply
    754.77x = 1,042.10 × 493.23
  4. Step 4: Simplify right side
    754.77x = 513,994.98
  5. Step 5: Solve for x
    x = 513,994.98/754.77
  6. Step 6: Final answer
    x = 681.00

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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.