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Finding the Fourth Proportional to 598.74, 826.68 and 528.26

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Solution

The fourth proportional to 598.74, 826.68 and 528.26 is: 729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 826.68 = 528.26 : x
  2. Step 2: Convert to fraction form
    598.74/826.68 = 528.26/x
  3. Step 3: Cross multiply
    598.74x = 826.68 × 528.26
  4. Step 4: Simplify right side
    598.74x = 436,701.98
  5. Step 5: Solve for x
    x = 436,701.98/598.74
  6. Step 6: Final answer
    x = 729.37

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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.