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Finding the Fourth Proportional to 535.01, 742.64 and 522.05

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Solution

The fourth proportional to 535.01, 742.64 and 522.05 is: 724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.01 : 742.64 = 522.05 : x
  2. Step 2: Convert to fraction form
    535.01/742.64 = 522.05/x
  3. Step 3: Cross multiply
    535.01x = 742.64 × 522.05
  4. Step 4: Simplify right side
    535.01x = 387,688.89
  5. Step 5: Solve for x
    x = 387,688.89/535.01
  6. Step 6: Final answer
    x = 724.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.