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Finding the Fourth Proportional to 730.56, 1,008.28 and 436

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Solution

The fourth proportional to 730.56, 1,008.28 and 436 is: 601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,008.28 = 436 : x
  2. Step 2: Convert to fraction form
    730.56/1,008.28 = 436/x
  3. Step 3: Cross multiply
    730.56x = 1,008.28 × 436
  4. Step 4: Simplify right side
    730.56x = 439,610.08
  5. Step 5: Solve for x
    x = 439,610.08/730.56
  6. Step 6: Final answer
    x = 601.74

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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.