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Finding the Fourth Proportional to 713.07, 985.87 and 547.83

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Solution

The fourth proportional to 713.07, 985.87 and 547.83 is: 757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 985.87 = 547.83 : x
  2. Step 2: Convert to fraction form
    713.07/985.87 = 547.83/x
  3. Step 3: Cross multiply
    713.07x = 985.87 × 547.83
  4. Step 4: Simplify right side
    713.07x = 540,089.85
  5. Step 5: Solve for x
    x = 540,089.85/713.07
  6. Step 6: Final answer
    x = 757.41

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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.