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Finding the Fourth Proportional to 1,020.35, 1,530.78 and 289.91

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Solution

The fourth proportional to 1,020.35, 1,530.78 and 289.91 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.35 : 1,530.78 = 289.91 : x
  2. Step 2: Convert to fraction form
    1,020.35/1,530.78 = 289.91/x
  3. Step 3: Cross multiply
    1,020.35x = 1,530.78 × 289.91
  4. Step 4: Simplify right side
    1,020.35x = 443,788.43
  5. Step 5: Solve for x
    x = 443,788.43/1,020.35
  6. Step 6: Final answer
    x = 434.94

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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.