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Finding the Fourth Proportional to 960.12, 1,440.63 and 570.89

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Solution

The fourth proportional to 960.12, 1,440.63 and 570.89 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.12 : 1,440.63 = 570.89 : x
  2. Step 2: Convert to fraction form
    960.12/1,440.63 = 570.89/x
  3. Step 3: Cross multiply
    960.12x = 1,440.63 × 570.89
  4. Step 4: Simplify right side
    960.12x = 822,444.86
  5. Step 5: Solve for x
    x = 822,444.86/960.12
  6. Step 6: Final answer
    x = 856.61

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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.