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Finding the Fourth Proportional to 534.83, 736.90 and 359.87

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Solution

The fourth proportional to 534.83, 736.90 and 359.87 is: 495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 736.90 = 359.87 : x
  2. Step 2: Convert to fraction form
    534.83/736.90 = 359.87/x
  3. Step 3: Cross multiply
    534.83x = 736.90 × 359.87
  4. Step 4: Simplify right side
    534.83x = 265,188.20
  5. Step 5: Solve for x
    x = 265,188.20/534.83
  6. Step 6: Final answer
    x = 495.84

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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.