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Finding the Fourth Proportional to 587.40, 881.20 and 313.84

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Solution

The fourth proportional to 587.40, 881.20 and 313.84 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.40 : 881.20 = 313.84 : x
  2. Step 2: Convert to fraction form
    587.40/881.20 = 313.84/x
  3. Step 3: Cross multiply
    587.40x = 881.20 × 313.84
  4. Step 4: Simplify right side
    587.40x = 276,555.81
  5. Step 5: Solve for x
    x = 276,555.81/587.40
  6. Step 6: Final answer
    x = 470.81

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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.