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Finding the Fourth Proportional to 1,189.94, 1,784.04 and 572.98

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Solution

The fourth proportional to 1,189.94, 1,784.04 and 572.98 is: 859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.94 : 1,784.04 = 572.98 : x
  2. Step 2: Convert to fraction form
    1,189.94/1,784.04 = 572.98/x
  3. Step 3: Cross multiply
    1,189.94x = 1,784.04 × 572.98
  4. Step 4: Simplify right side
    1,189.94x = 1,022,219.24
  5. Step 5: Solve for x
    x = 1,022,219.24/1,189.94
  6. Step 6: Final answer
    x = 859.05

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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.