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Finding the Fourth Proportional to 538.51, 743.17 and 317.45

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Solution

The fourth proportional to 538.51, 743.17 and 317.45 is: 438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.51 : 743.17 = 317.45 : x
  2. Step 2: Convert to fraction form
    538.51/743.17 = 317.45/x
  3. Step 3: Cross multiply
    538.51x = 743.17 × 317.45
  4. Step 4: Simplify right side
    538.51x = 235,919.32
  5. Step 5: Solve for x
    x = 235,919.32/538.51
  6. Step 6: Final answer
    x = 438.10

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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.