Home / 1,020.18-1,530.26-289.76

Finding the Fourth Proportional to 1,020.18, 1,530.26 and 289.76

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Solution

The fourth proportional to 1,020.18, 1,530.26 and 289.76 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.18 : 1,530.26 = 289.76 : x
  2. Step 2: Convert to fraction form
    1,020.18/1,530.26 = 289.76/x
  3. Step 3: Cross multiply
    1,020.18x = 1,530.26 × 289.76
  4. Step 4: Simplify right side
    1,020.18x = 443,408.14
  5. Step 5: Solve for x
    x = 443,408.14/1,020.18
  6. Step 6: Final answer
    x = 434.64

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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.