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Finding the Fourth Proportional to 1,206.32, 1,810.68 and 706.16

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Solution

The fourth proportional to 1,206.32, 1,810.68 and 706.16 is: 1,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.32 : 1,810.68 = 706.16 : x
  2. Step 2: Convert to fraction form
    1,206.32/1,810.68 = 706.16/x
  3. Step 3: Cross multiply
    1,206.32x = 1,810.68 × 706.16
  4. Step 4: Simplify right side
    1,206.32x = 1,278,629.79
  5. Step 5: Solve for x
    x = 1,278,629.79/1,206.32
  6. Step 6: Final answer
    x = 1,059.94

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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.