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Finding the Fourth Proportional to 681.59, 1,020.33 and 438.30

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Solution

The fourth proportional to 681.59, 1,020.33 and 438.30 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.59 : 1,020.33 = 438.30 : x
  2. Step 2: Convert to fraction form
    681.59/1,020.33 = 438.30/x
  3. Step 3: Cross multiply
    681.59x = 1,020.33 × 438.30
  4. Step 4: Simplify right side
    681.59x = 447,210.64
  5. Step 5: Solve for x
    x = 447,210.64/681.59
  6. Step 6: Final answer
    x = 656.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.