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Finding the Fourth Proportional to 1,441.65, 2,160.86 and 711.74

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Solution

The fourth proportional to 1,441.65, 2,160.86 and 711.74 is: 1,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.65 : 2,160.86 = 711.74 : x
  2. Step 2: Convert to fraction form
    1,441.65/2,160.86 = 711.74/x
  3. Step 3: Cross multiply
    1,441.65x = 2,160.86 × 711.74
  4. Step 4: Simplify right side
    1,441.65x = 1,537,970.50
  5. Step 5: Solve for x
    x = 1,537,970.50/1,441.65
  6. Step 6: Final answer
    x = 1,066.81

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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.