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Finding the Fourth Proportional to 1,142.79, 1,714.79 and 493.48

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Solution

The fourth proportional to 1,142.79, 1,714.79 and 493.48 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.79 : 1,714.79 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,142.79/1,714.79 = 493.48/x
  3. Step 3: Cross multiply
    1,142.79x = 1,714.79 × 493.48
  4. Step 4: Simplify right side
    1,142.79x = 846,214.57
  5. Step 5: Solve for x
    x = 846,214.57/1,142.79
  6. Step 6: Final answer
    x = 740.48

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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.