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Finding the Fourth Proportional to 598.38, 825.76 and 424.02

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Solution

The fourth proportional to 598.38, 825.76 and 424.02 is: 585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 825.76 = 424.02 : x
  2. Step 2: Convert to fraction form
    598.38/825.76 = 424.02/x
  3. Step 3: Cross multiply
    598.38x = 825.76 × 424.02
  4. Step 4: Simplify right side
    598.38x = 350,138.76
  5. Step 5: Solve for x
    x = 350,138.76/598.38
  6. Step 6: Final answer
    x = 585.14

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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.