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Finding the Fourth Proportional to 587.47, 881.57 and 313.75

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Solution

The fourth proportional to 587.47, 881.57 and 313.75 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 881.57 = 313.75 : x
  2. Step 2: Convert to fraction form
    587.47/881.57 = 313.75/x
  3. Step 3: Cross multiply
    587.47x = 881.57 × 313.75
  4. Step 4: Simplify right side
    587.47x = 276,592.59
  5. Step 5: Solve for x
    x = 276,592.59/587.47
  6. Step 6: Final answer
    x = 470.82

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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.