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Finding the Fourth Proportional to 576.31, 795.31 and 314.33

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Solution

The fourth proportional to 576.31, 795.31 and 314.33 is: 433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.31 : 795.31 = 314.33 : x
  2. Step 2: Convert to fraction form
    576.31/795.31 = 314.33/x
  3. Step 3: Cross multiply
    576.31x = 795.31 × 314.33
  4. Step 4: Simplify right side
    576.31x = 249,984.24
  5. Step 5: Solve for x
    x = 249,984.24/576.31
  6. Step 6: Final answer
    x = 433.77

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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.