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Finding the Fourth Proportional to 1,184.25, 1,777.13 and 500.25

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Solution

The fourth proportional to 1,184.25, 1,777.13 and 500.25 is: 750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.25 : 1,777.13 = 500.25 : x
  2. Step 2: Convert to fraction form
    1,184.25/1,777.13 = 500.25/x
  3. Step 3: Cross multiply
    1,184.25x = 1,777.13 × 500.25
  4. Step 4: Simplify right side
    1,184.25x = 889,006.78
  5. Step 5: Solve for x
    x = 889,006.78/1,184.25
  6. Step 6: Final answer
    x = 750.69

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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.