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Finding the Fourth Proportional to 1,020.40, 1,530.54 and 289.95

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Solution

The fourth proportional to 1,020.40, 1,530.54 and 289.95 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.40 : 1,530.54 = 289.95 : x
  2. Step 2: Convert to fraction form
    1,020.40/1,530.54 = 289.95/x
  3. Step 3: Cross multiply
    1,020.40x = 1,530.54 × 289.95
  4. Step 4: Simplify right side
    1,020.40x = 443,780.07
  5. Step 5: Solve for x
    x = 443,780.07/1,020.40
  6. Step 6: Final answer
    x = 434.91

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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.