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Finding the Fourth Proportional to 598.88, 826.68 and 424.40

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Solution

The fourth proportional to 598.88, 826.68 and 424.40 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 826.68 = 424.40 : x
  2. Step 2: Convert to fraction form
    598.88/826.68 = 424.40/x
  3. Step 3: Cross multiply
    598.88x = 826.68 × 424.40
  4. Step 4: Simplify right side
    598.88x = 350,842.99
  5. Step 5: Solve for x
    x = 350,842.99/598.88
  6. Step 6: Final answer
    x = 585.83

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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.