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Finding the Fourth Proportional to 536.40, 736.38 and 462.60

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Solution

The fourth proportional to 536.40, 736.38 and 462.60 is: 635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 736.38 = 462.60 : x
  2. Step 2: Convert to fraction form
    536.40/736.38 = 462.60/x
  3. Step 3: Cross multiply
    536.40x = 736.38 × 462.60
  4. Step 4: Simplify right side
    536.40x = 340,649.39
  5. Step 5: Solve for x
    x = 340,649.39/536.40
  6. Step 6: Final answer
    x = 635.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.