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Finding the Fourth Proportional to 501.80, 689.25 and 414.28

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Solution

The fourth proportional to 501.80, 689.25 and 414.28 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.80 : 689.25 = 414.28 : x
  2. Step 2: Convert to fraction form
    501.80/689.25 = 414.28/x
  3. Step 3: Cross multiply
    501.80x = 689.25 × 414.28
  4. Step 4: Simplify right side
    501.80x = 285,542.49
  5. Step 5: Solve for x
    x = 285,542.49/501.80
  6. Step 6: Final answer
    x = 569.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.