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Finding the Fourth Proportional to 1,020.22, 1,530.12 and 289.66

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Solution

The fourth proportional to 1,020.22, 1,530.12 and 289.66 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.22 : 1,530.12 = 289.66 : x
  2. Step 2: Convert to fraction form
    1,020.22/1,530.12 = 289.66/x
  3. Step 3: Cross multiply
    1,020.22x = 1,530.12 × 289.66
  4. Step 4: Simplify right side
    1,020.22x = 443,214.56
  5. Step 5: Solve for x
    x = 443,214.56/1,020.22
  6. Step 6: Final answer
    x = 434.43

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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.