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Finding the Fourth Proportional to 681.39, 1,018.52 and 589.89

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Solution

The fourth proportional to 681.39, 1,018.52 and 589.89 is: 881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.39 : 1,018.52 = 589.89 : x
  2. Step 2: Convert to fraction form
    681.39/1,018.52 = 589.89/x
  3. Step 3: Cross multiply
    681.39x = 1,018.52 × 589.89
  4. Step 4: Simplify right side
    681.39x = 600,811.81
  5. Step 5: Solve for x
    x = 600,811.81/681.39
  6. Step 6: Final answer
    x = 881.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.