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Finding the Fourth Proportional to 598.80, 826.32 and 402

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Solution

The fourth proportional to 598.80, 826.32 and 402 is: 554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 826.32 = 402 : x
  2. Step 2: Convert to fraction form
    598.80/826.32 = 402/x
  3. Step 3: Cross multiply
    598.80x = 826.32 × 402
  4. Step 4: Simplify right side
    598.80x = 332,180.64
  5. Step 5: Solve for x
    x = 332,180.64/598.80
  6. Step 6: Final answer
    x = 554.74

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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.