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Finding the Fourth Proportional to 1,218.00, 1,678.86 and 951.97

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Solution

The fourth proportional to 1,218.00, 1,678.86 and 951.97 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.00 : 1,678.86 = 951.97 : x
  2. Step 2: Convert to fraction form
    1,218.00/1,678.86 = 951.97/x
  3. Step 3: Cross multiply
    1,218.00x = 1,678.86 × 951.97
  4. Step 4: Simplify right side
    1,218.00x = 1,598,220.16
  5. Step 5: Solve for x
    x = 1,598,220.16/1,218.00
  6. Step 6: Final answer
    x = 1,312.17

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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.