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Finding the Fourth Proportional to 677.81, 1,014.96 and 580.94

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Solution

The fourth proportional to 677.81, 1,014.96 and 580.94 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 1,014.96 = 580.94 : x
  2. Step 2: Convert to fraction form
    677.81/1,014.96 = 580.94/x
  3. Step 3: Cross multiply
    677.81x = 1,014.96 × 580.94
  4. Step 4: Simplify right side
    677.81x = 589,625.79
  5. Step 5: Solve for x
    x = 589,625.79/677.81
  6. Step 6: Final answer
    x = 869.90

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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.