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Finding the Fourth Proportional to 1,113.82, 1,670.90 and 383.23

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Solution

The fourth proportional to 1,113.82, 1,670.90 and 383.23 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.82 : 1,670.90 = 383.23 : x
  2. Step 2: Convert to fraction form
    1,113.82/1,670.90 = 383.23/x
  3. Step 3: Cross multiply
    1,113.82x = 1,670.90 × 383.23
  4. Step 4: Simplify right side
    1,113.82x = 640,335.79
  5. Step 5: Solve for x
    x = 640,335.79/1,113.82
  6. Step 6: Final answer
    x = 574.90

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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.