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Finding the Fourth Proportional to 1,111.64, 1,666.30 and 380.96

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Solution

The fourth proportional to 1,111.64, 1,666.30 and 380.96 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.64 : 1,666.30 = 380.96 : x
  2. Step 2: Convert to fraction form
    1,111.64/1,666.30 = 380.96/x
  3. Step 3: Cross multiply
    1,111.64x = 1,666.30 × 380.96
  4. Step 4: Simplify right side
    1,111.64x = 634,793.65
  5. Step 5: Solve for x
    x = 634,793.65/1,111.64
  6. Step 6: Final answer
    x = 571.04

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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.