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Finding the Fourth Proportional to 1,188.20, 1,777.50 and 929

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Solution

The fourth proportional to 1,188.20, 1,777.50 and 929 is: 1,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.20 : 1,777.50 = 929 : x
  2. Step 2: Convert to fraction form
    1,188.20/1,777.50 = 929/x
  3. Step 3: Cross multiply
    1,188.20x = 1,777.50 × 929
  4. Step 4: Simplify right side
    1,188.20x = 1,651,297.50
  5. Step 5: Solve for x
    x = 1,651,297.50/1,188.20
  6. Step 6: Final answer
    x = 1,389.75

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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.