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Finding the Fourth Proportional to 713.58, 984.96 and 690.48

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Solution

The fourth proportional to 713.58, 984.96 and 690.48 is: 953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 984.96 = 690.48 : x
  2. Step 2: Convert to fraction form
    713.58/984.96 = 690.48/x
  3. Step 3: Cross multiply
    713.58x = 984.96 × 690.48
  4. Step 4: Simplify right side
    713.58x = 680,095.18
  5. Step 5: Solve for x
    x = 680,095.18/713.58
  6. Step 6: Final answer
    x = 953.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.