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Finding the Fourth Proportional to 730, 1,004.52 and 554.64

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Solution

The fourth proportional to 730, 1,004.52 and 554.64 is: 763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730 : 1,004.52 = 554.64 : x
  2. Step 2: Convert to fraction form
    730/1,004.52 = 554.64/x
  3. Step 3: Cross multiply
    730x = 1,004.52 × 554.64
  4. Step 4: Simplify right side
    730x = 557,146.97
  5. Step 5: Solve for x
    x = 557,146.97/730
  6. Step 6: Final answer
    x = 763.22

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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.