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Finding the Fourth Proportional to 1,188.21, 1,782.41 and 322.50

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Solution

The fourth proportional to 1,188.21, 1,782.41 and 322.50 is: 483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.21 : 1,782.41 = 322.50 : x
  2. Step 2: Convert to fraction form
    1,188.21/1,782.41 = 322.50/x
  3. Step 3: Cross multiply
    1,188.21x = 1,782.41 × 322.50
  4. Step 4: Simplify right side
    1,188.21x = 574,825.61
  5. Step 5: Solve for x
    x = 574,825.61/1,188.21
  6. Step 6: Final answer
    x = 483.77

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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.