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Finding the Fourth Proportional to 1,020.70, 1,532.62 and 978.58

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Solution

The fourth proportional to 1,020.70, 1,532.62 and 978.58 is: 1,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.70 : 1,532.62 = 978.58 : x
  2. Step 2: Convert to fraction form
    1,020.70/1,532.62 = 978.58/x
  3. Step 3: Cross multiply
    1,020.70x = 1,532.62 × 978.58
  4. Step 4: Simplify right side
    1,020.70x = 1,499,794.42
  5. Step 5: Solve for x
    x = 1,499,794.42/1,020.70
  6. Step 6: Final answer
    x = 1,469.38

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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.