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Finding the Fourth Proportional to 538.76, 743.50 and 317.88

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Solution

The fourth proportional to 538.76, 743.50 and 317.88 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 743.50 = 317.88 : x
  2. Step 2: Convert to fraction form
    538.76/743.50 = 317.88/x
  3. Step 3: Cross multiply
    538.76x = 743.50 × 317.88
  4. Step 4: Simplify right side
    538.76x = 236,343.78
  5. Step 5: Solve for x
    x = 236,343.78/538.76
  6. Step 6: Final answer
    x = 438.68

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Find fourth proportional to 269.38, 371.75 and 158.94
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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.