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Finding the Fourth Proportional to 598.63, 825.60 and 458.50

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Solution

The fourth proportional to 598.63, 825.60 and 458.50 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.63 : 825.60 = 458.50 : x
  2. Step 2: Convert to fraction form
    598.63/825.60 = 458.50/x
  3. Step 3: Cross multiply
    598.63x = 825.60 × 458.50
  4. Step 4: Simplify right side
    598.63x = 378,537.60
  5. Step 5: Solve for x
    x = 378,537.60/598.63
  6. Step 6: Final answer
    x = 632.34

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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.