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Finding the Fourth Proportional to 536.14, 739.74 and 315.01

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Solution

The fourth proportional to 536.14, 739.74 and 315.01 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 739.74 = 315.01 : x
  2. Step 2: Convert to fraction form
    536.14/739.74 = 315.01/x
  3. Step 3: Cross multiply
    536.14x = 739.74 × 315.01
  4. Step 4: Simplify right side
    536.14x = 233,025.50
  5. Step 5: Solve for x
    x = 233,025.50/536.14
  6. Step 6: Final answer
    x = 434.64

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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.