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Finding the Fourth Proportional to 1,212.50, 1,673.18 and 715.11

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Solution

The fourth proportional to 1,212.50, 1,673.18 and 715.11 is: 986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.50 : 1,673.18 = 715.11 : x
  2. Step 2: Convert to fraction form
    1,212.50/1,673.18 = 715.11/x
  3. Step 3: Cross multiply
    1,212.50x = 1,673.18 × 715.11
  4. Step 4: Simplify right side
    1,212.50x = 1,196,507.75
  5. Step 5: Solve for x
    x = 1,196,507.75/1,212.50
  6. Step 6: Final answer
    x = 986.81

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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.