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Finding the Fourth Proportional to 536.21, 740.27 and 512.99

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Solution

The fourth proportional to 536.21, 740.27 and 512.99 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.21 : 740.27 = 512.99 : x
  2. Step 2: Convert to fraction form
    536.21/740.27 = 512.99/x
  3. Step 3: Cross multiply
    536.21x = 740.27 × 512.99
  4. Step 4: Simplify right side
    536.21x = 379,751.11
  5. Step 5: Solve for x
    x = 379,751.11/536.21
  6. Step 6: Final answer
    x = 708.21

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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.