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Finding the Fourth Proportional to 528.80, 730.26 and 491.94

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Solution

The fourth proportional to 528.80, 730.26 and 491.94 is: 679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 730.26 = 491.94 : x
  2. Step 2: Convert to fraction form
    528.80/730.26 = 491.94/x
  3. Step 3: Cross multiply
    528.80x = 730.26 × 491.94
  4. Step 4: Simplify right side
    528.80x = 359,244.10
  5. Step 5: Solve for x
    x = 359,244.10/528.80
  6. Step 6: Final answer
    x = 679.36

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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.