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Finding the Fourth Proportional to 529.19, 725.53 and 521.12

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Solution

The fourth proportional to 529.19, 725.53 and 521.12 is: 714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.19 : 725.53 = 521.12 : x
  2. Step 2: Convert to fraction form
    529.19/725.53 = 521.12/x
  3. Step 3: Cross multiply
    529.19x = 725.53 × 521.12
  4. Step 4: Simplify right side
    529.19x = 378,089.68
  5. Step 5: Solve for x
    x = 378,089.68/529.19
  6. Step 6: Final answer
    x = 714.47

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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.