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Finding the Fourth Proportional to 1,182.64, 1,631.52 and 685.12

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Solution

The fourth proportional to 1,182.64, 1,631.52 and 685.12 is: 945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.64 : 1,631.52 = 685.12 : x
  2. Step 2: Convert to fraction form
    1,182.64/1,631.52 = 685.12/x
  3. Step 3: Cross multiply
    1,182.64x = 1,631.52 × 685.12
  4. Step 4: Simplify right side
    1,182.64x = 1,117,786.98
  5. Step 5: Solve for x
    x = 1,117,786.98/1,182.64
  6. Step 6: Final answer
    x = 945.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.