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Finding the Fourth Proportional to 585.58, 879.59 and 448.15

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Solution

The fourth proportional to 585.58, 879.59 and 448.15 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.58 : 879.59 = 448.15 : x
  2. Step 2: Convert to fraction form
    585.58/879.59 = 448.15/x
  3. Step 3: Cross multiply
    585.58x = 879.59 × 448.15
  4. Step 4: Simplify right side
    585.58x = 394,188.26
  5. Step 5: Solve for x
    x = 394,188.26/585.58
  6. Step 6: Final answer
    x = 673.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.