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Finding the Fourth Proportional to 1,182.99, 1,774.51 and 305.51

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Solution

The fourth proportional to 1,182.99, 1,774.51 and 305.51 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.99 : 1,774.51 = 305.51 : x
  2. Step 2: Convert to fraction form
    1,182.99/1,774.51 = 305.51/x
  3. Step 3: Cross multiply
    1,182.99x = 1,774.51 × 305.51
  4. Step 4: Simplify right side
    1,182.99x = 542,134.28
  5. Step 5: Solve for x
    x = 542,134.28/1,182.99
  6. Step 6: Final answer
    x = 458.27

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Double scale
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1.5x scale

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.