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Finding the Fourth Proportional to 587.83, 881.49 and 313.86

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Solution

The fourth proportional to 587.83, 881.49 and 313.86 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.83 : 881.49 = 313.86 : x
  2. Step 2: Convert to fraction form
    587.83/881.49 = 313.86/x
  3. Step 3: Cross multiply
    587.83x = 881.49 × 313.86
  4. Step 4: Simplify right side
    587.83x = 276,664.45
  5. Step 5: Solve for x
    x = 276,664.45/587.83
  6. Step 6: Final answer
    x = 470.65

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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.