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Finding the Fourth Proportional to 1,142.57, 1,713.93 and 493.31

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Solution

The fourth proportional to 1,142.57, 1,713.93 and 493.31 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.57 : 1,713.93 = 493.31 : x
  2. Step 2: Convert to fraction form
    1,142.57/1,713.93 = 493.31/x
  3. Step 3: Cross multiply
    1,142.57x = 1,713.93 × 493.31
  4. Step 4: Simplify right side
    1,142.57x = 845,487.77
  5. Step 5: Solve for x
    x = 845,487.77/1,142.57
  6. Step 6: Final answer
    x = 739.99

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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.