Home / 1,020.20-1,530.13-289.61

Finding the Fourth Proportional to 1,020.20, 1,530.13 and 289.61

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Solution

The fourth proportional to 1,020.20, 1,530.13 and 289.61 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,530.13 = 289.61 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,530.13 = 289.61/x
  3. Step 3: Cross multiply
    1,020.20x = 1,530.13 × 289.61
  4. Step 4: Simplify right side
    1,020.20x = 443,140.95
  5. Step 5: Solve for x
    x = 443,140.95/1,020.20
  6. Step 6: Final answer
    x = 434.37

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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.