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Finding the Fourth Proportional to 960.04, 1,438.84 and 411.58

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Solution

The fourth proportional to 960.04, 1,438.84 and 411.58 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.04 : 1,438.84 = 411.58 : x
  2. Step 2: Convert to fraction form
    960.04/1,438.84 = 411.58/x
  3. Step 3: Cross multiply
    960.04x = 1,438.84 × 411.58
  4. Step 4: Simplify right side
    960.04x = 592,197.77
  5. Step 5: Solve for x
    x = 592,197.77/960.04
  6. Step 6: Final answer
    x = 616.85

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1.5x scale

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.