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Finding the Fourth Proportional to 959.36, 1,439.28 and 411.68

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Solution

The fourth proportional to 959.36, 1,439.28 and 411.68 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.36 : 1,439.28 = 411.68 : x
  2. Step 2: Convert to fraction form
    959.36/1,439.28 = 411.68/x
  3. Step 3: Cross multiply
    959.36x = 1,439.28 × 411.68
  4. Step 4: Simplify right side
    959.36x = 592,522.79
  5. Step 5: Solve for x
    x = 592,522.79/959.36
  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.