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Finding the Fourth Proportional to 1,212.81, 1,673.80 and 715.61

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Solution

The fourth proportional to 1,212.81, 1,673.80 and 715.61 is: 987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.81 : 1,673.80 = 715.61 : x
  2. Step 2: Convert to fraction form
    1,212.81/1,673.80 = 715.61/x
  3. Step 3: Cross multiply
    1,212.81x = 1,673.80 × 715.61
  4. Step 4: Simplify right side
    1,212.81x = 1,197,776.07
  5. Step 5: Solve for x
    x = 1,197,776.07/1,212.81
  6. Step 6: Final answer
    x = 987.61

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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.