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Finding the Fourth Proportional to 521.22, 714.56 and 512.01

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Solution

The fourth proportional to 521.22, 714.56 and 512.01 is: 701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 714.56 = 512.01 : x
  2. Step 2: Convert to fraction form
    521.22/714.56 = 512.01/x
  3. Step 3: Cross multiply
    521.22x = 714.56 × 512.01
  4. Step 4: Simplify right side
    521.22x = 365,859.31
  5. Step 5: Solve for x
    x = 365,859.31/521.22
  6. Step 6: Final answer
    x = 701.93

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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.