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Finding the Fourth Proportional to 587.61, 881.81 and 313.90

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Solution

The fourth proportional to 587.61, 881.81 and 313.90 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 881.81 = 313.90 : x
  2. Step 2: Convert to fraction form
    587.61/881.81 = 313.90/x
  3. Step 3: Cross multiply
    587.61x = 881.81 × 313.90
  4. Step 4: Simplify right side
    587.61x = 276,800.16
  5. Step 5: Solve for x
    x = 276,800.16/587.61
  6. Step 6: Final answer
    x = 471.06

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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.