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Finding the Fourth Proportional to 832.96, 1,149.56 and 483.63

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Solution

The fourth proportional to 832.96, 1,149.56 and 483.63 is: 667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.96 : 1,149.56 = 483.63 : x
  2. Step 2: Convert to fraction form
    832.96/1,149.56 = 483.63/x
  3. Step 3: Cross multiply
    832.96x = 1,149.56 × 483.63
  4. Step 4: Simplify right side
    832.96x = 555,953.54
  5. Step 5: Solve for x
    x = 555,953.54/832.96
  6. Step 6: Final answer
    x = 667.44

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Half scale
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Double scale
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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.