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Finding the Fourth Proportional to 526.80, 717.42 and 523.56

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Solution

The fourth proportional to 526.80, 717.42 and 523.56 is: 713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 717.42 = 523.56 : x
  2. Step 2: Convert to fraction form
    526.80/717.42 = 523.56/x
  3. Step 3: Cross multiply
    526.80x = 717.42 × 523.56
  4. Step 4: Simplify right side
    526.80x = 375,612.42
  5. Step 5: Solve for x
    x = 375,612.42/526.80
  6. Step 6: Final answer
    x = 713.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.