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Finding the Fourth Proportional to 832.51, 1,149 and 483.19

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Solution

The fourth proportional to 832.51, 1,149 and 483.19 is: 666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.51 : 1,149 = 483.19 : x
  2. Step 2: Convert to fraction form
    832.51/1,149 = 483.19/x
  3. Step 3: Cross multiply
    832.51x = 1,149 × 483.19
  4. Step 4: Simplify right side
    832.51x = 555,185.31
  5. Step 5: Solve for x
    x = 555,185.31/832.51
  6. Step 6: Final answer
    x = 666.88

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Half scale
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Double scale
Find fourth proportional to 833.51, 1,150.38 and 484.19
Similar ratio
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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.