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Finding the Fourth Proportional to 713.25, 983.73 and 433.38

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Solution

The fourth proportional to 713.25, 983.73 and 433.38 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.25 : 983.73 = 433.38 : x
  2. Step 2: Convert to fraction form
    713.25/983.73 = 433.38/x
  3. Step 3: Cross multiply
    713.25x = 983.73 × 433.38
  4. Step 4: Simplify right side
    713.25x = 426,328.91
  5. Step 5: Solve for x
    x = 426,328.91/713.25
  6. Step 6: Final answer
    x = 597.73

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1.5x scale

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.