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Finding the Fourth Proportional to 1,142.48, 1,712.28 and 818.48

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Solution

The fourth proportional to 1,142.48, 1,712.28 and 818.48 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.48 : 1,712.28 = 818.48 : x
  2. Step 2: Convert to fraction form
    1,142.48/1,712.28 = 818.48/x
  3. Step 3: Cross multiply
    1,142.48x = 1,712.28 × 818.48
  4. Step 4: Simplify right side
    1,142.48x = 1,401,466.93
  5. Step 5: Solve for x
    x = 1,401,466.93/1,142.48
  6. Step 6: Final answer
    x = 1,226.69

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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.