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Finding the Fourth Proportional to 1,237.07, 1,706.94 and 713.00

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Solution

The fourth proportional to 1,237.07, 1,706.94 and 713.00 is: 983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.07 : 1,706.94 = 713.00 : x
  2. Step 2: Convert to fraction form
    1,237.07/1,706.94 = 713.00/x
  3. Step 3: Cross multiply
    1,237.07x = 1,706.94 × 713.00
  4. Step 4: Simplify right side
    1,237.07x = 1,217,052.49
  5. Step 5: Solve for x
    x = 1,217,052.49/1,237.07
  6. Step 6: Final answer
    x = 983.82

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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.