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Finding the Fourth Proportional to 1,052.14, 1,578.50 and 321.70

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Solution

The fourth proportional to 1,052.14, 1,578.50 and 321.70 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.14 : 1,578.50 = 321.70 : x
  2. Step 2: Convert to fraction form
    1,052.14/1,578.50 = 321.70/x
  3. Step 3: Cross multiply
    1,052.14x = 1,578.50 × 321.70
  4. Step 4: Simplify right side
    1,052.14x = 507,807.40
  5. Step 5: Solve for x
    x = 507,807.40/1,052.14
  6. Step 6: Final answer
    x = 482.64

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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.