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Finding the Fourth Proportional to 585.86, 879.22 and 297.50

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Solution

The fourth proportional to 585.86, 879.22 and 297.50 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 879.22 = 297.50 : x
  2. Step 2: Convert to fraction form
    585.86/879.22 = 297.50/x
  3. Step 3: Cross multiply
    585.86x = 879.22 × 297.50
  4. Step 4: Simplify right side
    585.86x = 261,567.95
  5. Step 5: Solve for x
    x = 261,567.95/585.86
  6. Step 6: Final answer
    x = 446.47

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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.