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Finding the Fourth Proportional to 1,142.24, 1,712.82 and 448.50

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Solution

The fourth proportional to 1,142.24, 1,712.82 and 448.50 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.24 : 1,712.82 = 448.50 : x
  2. Step 2: Convert to fraction form
    1,142.24/1,712.82 = 448.50/x
  3. Step 3: Cross multiply
    1,142.24x = 1,712.82 × 448.50
  4. Step 4: Simplify right side
    1,142.24x = 768,199.77
  5. Step 5: Solve for x
    x = 768,199.77/1,142.24
  6. Step 6: Final answer
    x = 672.54

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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.