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Finding the Fourth Proportional to 730.35, 1,008.28 and 495.55

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Solution

The fourth proportional to 730.35, 1,008.28 and 495.55 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,008.28 = 495.55 : x
  2. Step 2: Convert to fraction form
    730.35/1,008.28 = 495.55/x
  3. Step 3: Cross multiply
    730.35x = 1,008.28 × 495.55
  4. Step 4: Simplify right side
    730.35x = 499,655.03
  5. Step 5: Solve for x
    x = 499,655.03/730.35
  6. Step 6: Final answer
    x = 684.13

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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.