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Finding the Fourth Proportional to 1,065.65, 1,470.86 and 712.14

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Solution

The fourth proportional to 1,065.65, 1,470.86 and 712.14 is: 982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.65 : 1,470.86 = 712.14 : x
  2. Step 2: Convert to fraction form
    1,065.65/1,470.86 = 712.14/x
  3. Step 3: Cross multiply
    1,065.65x = 1,470.86 × 712.14
  4. Step 4: Simplify right side
    1,065.65x = 1,047,454.68
  5. Step 5: Solve for x
    x = 1,047,454.68/1,065.65
  6. Step 6: Final answer
    x = 982.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.