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Finding the Fourth Proportional to 557.43, 839.09 and 508.23

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Solution

The fourth proportional to 557.43, 839.09 and 508.23 is: 765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.43 : 839.09 = 508.23 : x
  2. Step 2: Convert to fraction form
    557.43/839.09 = 508.23/x
  3. Step 3: Cross multiply
    557.43x = 839.09 × 508.23
  4. Step 4: Simplify right side
    557.43x = 426,448.17
  5. Step 5: Solve for x
    x = 426,448.17/557.43
  6. Step 6: Final answer
    x = 765.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.