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Finding the Fourth Proportional to 1,451.99, 2,178.24 and 528.83

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Solution

The fourth proportional to 1,451.99, 2,178.24 and 528.83 is: 793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.99 : 2,178.24 = 528.83 : x
  2. Step 2: Convert to fraction form
    1,451.99/2,178.24 = 528.83/x
  3. Step 3: Cross multiply
    1,451.99x = 2,178.24 × 528.83
  4. Step 4: Simplify right side
    1,451.99x = 1,151,918.66
  5. Step 5: Solve for x
    x = 1,151,918.66/1,451.99
  6. Step 6: Final answer
    x = 793.34

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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.