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Finding the Fourth Proportional to 1,142.02, 1,713.30 and 493.48

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Solution

The fourth proportional to 1,142.02, 1,713.30 and 493.48 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.02 : 1,713.30 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,142.02/1,713.30 = 493.48/x
  3. Step 3: Cross multiply
    1,142.02x = 1,713.30 × 493.48
  4. Step 4: Simplify right side
    1,142.02x = 845,479.28
  5. Step 5: Solve for x
    x = 845,479.28/1,142.02
  6. Step 6: Final answer
    x = 740.34

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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.