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Finding the Fourth Proportional to 538.87, 743.51 and 317.83

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Solution

The fourth proportional to 538.87, 743.51 and 317.83 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.87 : 743.51 = 317.83 : x
  2. Step 2: Convert to fraction form
    538.87/743.51 = 317.83/x
  3. Step 3: Cross multiply
    538.87x = 743.51 × 317.83
  4. Step 4: Simplify right side
    538.87x = 236,312.20
  5. Step 5: Solve for x
    x = 236,312.20/538.87
  6. Step 6: Final answer
    x = 438.53

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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.