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Finding the Fourth Proportional to 501.39, 689.45 and 448.61

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Solution

The fourth proportional to 501.39, 689.45 and 448.61 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 689.45 = 448.61 : x
  2. Step 2: Convert to fraction form
    501.39/689.45 = 448.61/x
  3. Step 3: Cross multiply
    501.39x = 689.45 × 448.61
  4. Step 4: Simplify right side
    501.39x = 309,288.47
  5. Step 5: Solve for x
    x = 309,288.47/501.39
  6. Step 6: Final answer
    x = 616.86

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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.