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Finding the Fourth Proportional to 501.09, 689.22 and 402.63

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Solution

The fourth proportional to 501.09, 689.22 and 402.63 is: 553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.09 : 689.22 = 402.63 : x
  2. Step 2: Convert to fraction form
    501.09/689.22 = 402.63/x
  3. Step 3: Cross multiply
    501.09x = 689.22 × 402.63
  4. Step 4: Simplify right side
    501.09x = 277,500.65
  5. Step 5: Solve for x
    x = 277,500.65/501.09
  6. Step 6: Final answer
    x = 553.79

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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.