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Finding the Fourth Proportional to 987.57, 1,362.79 and 589.68

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Solution

The fourth proportional to 987.57, 1,362.79 and 589.68 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.57 : 1,362.79 = 589.68 : x
  2. Step 2: Convert to fraction form
    987.57/1,362.79 = 589.68/x
  3. Step 3: Cross multiply
    987.57x = 1,362.79 × 589.68
  4. Step 4: Simplify right side
    987.57x = 803,611.94
  5. Step 5: Solve for x
    x = 803,611.94/987.57
  6. Step 6: Final answer
    x = 813.72

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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.