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Finding the Fourth Proportional to 557.26, 835.14 and 310.47

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Solution

The fourth proportional to 557.26, 835.14 and 310.47 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.26 : 835.14 = 310.47 : x
  2. Step 2: Convert to fraction form
    557.26/835.14 = 310.47/x
  3. Step 3: Cross multiply
    557.26x = 835.14 × 310.47
  4. Step 4: Simplify right side
    557.26x = 259,283.95
  5. Step 5: Solve for x
    x = 259,283.95/557.26
  6. Step 6: Final answer
    x = 465.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.