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Finding the Fourth Proportional to 959.57, 1,438.36 and 412.10

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Solution

The fourth proportional to 959.57, 1,438.36 and 412.10 is: 617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,438.36 = 412.10 : x
  2. Step 2: Convert to fraction form
    959.57/1,438.36 = 412.10/x
  3. Step 3: Cross multiply
    959.57x = 1,438.36 × 412.10
  4. Step 4: Simplify right side
    959.57x = 592,738.90
  5. Step 5: Solve for x
    x = 592,738.90/959.57
  6. Step 6: Final answer
    x = 617.72

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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.