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Finding the Fourth Proportional to 1,488.12, 2,232.36 and 622.50

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Solution

The fourth proportional to 1,488.12, 2,232.36 and 622.50 is: 933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.12 : 2,232.36 = 622.50 : x
  2. Step 2: Convert to fraction form
    1,488.12/2,232.36 = 622.50/x
  3. Step 3: Cross multiply
    1,488.12x = 2,232.36 × 622.50
  4. Step 4: Simplify right side
    1,488.12x = 1,389,644.10
  5. Step 5: Solve for x
    x = 1,389,644.10/1,488.12
  6. Step 6: Final answer
    x = 933.83

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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.