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Finding the Fourth Proportional to 538.45, 742.95 and 317.25

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Solution

The fourth proportional to 538.45, 742.95 and 317.25 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 742.95 = 317.25 : x
  2. Step 2: Convert to fraction form
    538.45/742.95 = 317.25/x
  3. Step 3: Cross multiply
    538.45x = 742.95 × 317.25
  4. Step 4: Simplify right side
    538.45x = 235,700.89
  5. Step 5: Solve for x
    x = 235,700.89/538.45
  6. Step 6: Final answer
    x = 437.74

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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.