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Finding the Fourth Proportional to 586.76, 878.28 and 412.62

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Solution

The fourth proportional to 586.76, 878.28 and 412.62 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 878.28 = 412.62 : x
  2. Step 2: Convert to fraction form
    586.76/878.28 = 412.62/x
  3. Step 3: Cross multiply
    586.76x = 878.28 × 412.62
  4. Step 4: Simplify right side
    586.76x = 362,395.89
  5. Step 5: Solve for x
    x = 362,395.89/586.76
  6. Step 6: Final answer
    x = 617.62

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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.