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Finding the Fourth Proportional to 1,213.13, 1,673.84 and 708.91

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Solution

The fourth proportional to 1,213.13, 1,673.84 and 708.91 is: 978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.13 : 1,673.84 = 708.91 : x
  2. Step 2: Convert to fraction form
    1,213.13/1,673.84 = 708.91/x
  3. Step 3: Cross multiply
    1,213.13x = 1,673.84 × 708.91
  4. Step 4: Simplify right side
    1,213.13x = 1,186,599.50
  5. Step 5: Solve for x
    x = 1,186,599.50/1,213.13
  6. Step 6: Final answer
    x = 978.13

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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.