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Finding the Fourth Proportional to 960.29, 1,440.72 and 570.65

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Solution

The fourth proportional to 960.29, 1,440.72 and 570.65 is: 856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.29 : 1,440.72 = 570.65 : x
  2. Step 2: Convert to fraction form
    960.29/1,440.72 = 570.65/x
  3. Step 3: Cross multiply
    960.29x = 1,440.72 × 570.65
  4. Step 4: Simplify right side
    960.29x = 822,146.87
  5. Step 5: Solve for x
    x = 822,146.87/960.29
  6. Step 6: Final answer
    x = 856.14

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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.