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Finding the Fourth Proportional to 713.23, 984.50 and 433.65

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Solution

The fourth proportional to 713.23, 984.50 and 433.65 is: 598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.23 : 984.50 = 433.65 : x
  2. Step 2: Convert to fraction form
    713.23/984.50 = 433.65/x
  3. Step 3: Cross multiply
    713.23x = 984.50 × 433.65
  4. Step 4: Simplify right side
    713.23x = 426,928.43
  5. Step 5: Solve for x
    x = 426,928.43/713.23
  6. Step 6: Final answer
    x = 598.58

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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.