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Finding the Fourth Proportional to 1,183.12, 1,774.56 and 317.52

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Solution

The fourth proportional to 1,183.12, 1,774.56 and 317.52 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.12 : 1,774.56 = 317.52 : x
  2. Step 2: Convert to fraction form
    1,183.12/1,774.56 = 317.52/x
  3. Step 3: Cross multiply
    1,183.12x = 1,774.56 × 317.52
  4. Step 4: Simplify right side
    1,183.12x = 563,458.29
  5. Step 5: Solve for x
    x = 563,458.29/1,183.12
  6. Step 6: Final answer
    x = 476.25

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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.