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Finding the Fourth Proportional to 713.50, 984 and 555.82

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Solution

The fourth proportional to 713.50, 984 and 555.82 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 984 = 555.82 : x
  2. Step 2: Convert to fraction form
    713.50/984 = 555.82/x
  3. Step 3: Cross multiply
    713.50x = 984 × 555.82
  4. Step 4: Simplify right side
    713.50x = 546,926.88
  5. Step 5: Solve for x
    x = 546,926.88/713.50
  6. Step 6: Final answer
    x = 766.54

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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.