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Finding the Fourth Proportional to 730.71, 1,008.20 and 482.43

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Solution

The fourth proportional to 730.71, 1,008.20 and 482.43 is: 665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.71 : 1,008.20 = 482.43 : x
  2. Step 2: Convert to fraction form
    730.71/1,008.20 = 482.43/x
  3. Step 3: Cross multiply
    730.71x = 1,008.20 × 482.43
  4. Step 4: Simplify right side
    730.71x = 486,385.93
  5. Step 5: Solve for x
    x = 486,385.93/730.71
  6. Step 6: Final answer
    x = 665.64

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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.