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Finding the Fourth Proportional to 832.27, 1,148.14 and 482.75

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Solution

The fourth proportional to 832.27, 1,148.14 and 482.75 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.27 : 1,148.14 = 482.75 : x
  2. Step 2: Convert to fraction form
    832.27/1,148.14 = 482.75/x
  3. Step 3: Cross multiply
    832.27x = 1,148.14 × 482.75
  4. Step 4: Simplify right side
    832.27x = 554,264.59
  5. Step 5: Solve for x
    x = 554,264.59/832.27
  6. Step 6: Final answer
    x = 665.97

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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.