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Finding the Fourth Proportional to 586.72, 881.28 and 381.64

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Solution

The fourth proportional to 586.72, 881.28 and 381.64 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 881.28 = 381.64 : x
  2. Step 2: Convert to fraction form
    586.72/881.28 = 381.64/x
  3. Step 3: Cross multiply
    586.72x = 881.28 × 381.64
  4. Step 4: Simplify right side
    586.72x = 336,331.70
  5. Step 5: Solve for x
    x = 336,331.70/586.72
  6. Step 6: Final answer
    x = 573.24

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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.