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Finding the Fourth Proportional to 539.08, 743.71 and 317.95

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Solution

The fourth proportional to 539.08, 743.71 and 317.95 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.08 : 743.71 = 317.95 : x
  2. Step 2: Convert to fraction form
    539.08/743.71 = 317.95/x
  3. Step 3: Cross multiply
    539.08x = 743.71 × 317.95
  4. Step 4: Simplify right side
    539.08x = 236,457.29
  5. Step 5: Solve for x
    x = 236,457.29/539.08
  6. Step 6: Final answer
    x = 438.64

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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.