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Finding the Fourth Proportional to 1,020.58, 1,530.84 and 960.46

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Solution

The fourth proportional to 1,020.58, 1,530.84 and 960.46 is: 1,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.58 : 1,530.84 = 960.46 : x
  2. Step 2: Convert to fraction form
    1,020.58/1,530.84 = 960.46/x
  3. Step 3: Cross multiply
    1,020.58x = 1,530.84 × 960.46
  4. Step 4: Simplify right side
    1,020.58x = 1,470,310.59
  5. Step 5: Solve for x
    x = 1,470,310.59/1,020.58
  6. Step 6: Final answer
    x = 1,440.66

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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.