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Finding the Fourth Proportional to 598.85, 826.36 and 350.31

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Solution

The fourth proportional to 598.85, 826.36 and 350.31 is: 483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 826.36 = 350.31 : x
  2. Step 2: Convert to fraction form
    598.85/826.36 = 350.31/x
  3. Step 3: Cross multiply
    598.85x = 826.36 × 350.31
  4. Step 4: Simplify right side
    598.85x = 289,482.17
  5. Step 5: Solve for x
    x = 289,482.17/598.85
  6. Step 6: Final answer
    x = 483.40

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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.