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Finding the Fourth Proportional to 1,142.40, 1,714.42 and 493.60

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Solution

The fourth proportional to 1,142.40, 1,714.42 and 493.60 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,714.42 = 493.60 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,714.42 = 493.60/x
  3. Step 3: Cross multiply
    1,142.40x = 1,714.42 × 493.60
  4. Step 4: Simplify right side
    1,142.40x = 846,237.71
  5. Step 5: Solve for x
    x = 846,237.71/1,142.40
  6. Step 6: Final answer
    x = 740.75

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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.