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Finding the Fourth Proportional to 557.56, 767.91 and 523.54

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Solution

The fourth proportional to 557.56, 767.91 and 523.54 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 767.91 = 523.54 : x
  2. Step 2: Convert to fraction form
    557.56/767.91 = 523.54/x
  3. Step 3: Cross multiply
    557.56x = 767.91 × 523.54
  4. Step 4: Simplify right side
    557.56x = 402,031.60
  5. Step 5: Solve for x
    x = 402,031.60/557.56
  6. Step 6: Final answer
    x = 721.06

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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.