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Finding the Fourth Proportional to 660.46, 989.47 and 587.56

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Solution

The fourth proportional to 660.46, 989.47 and 587.56 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.46 : 989.47 = 587.56 : x
  2. Step 2: Convert to fraction form
    660.46/989.47 = 587.56/x
  3. Step 3: Cross multiply
    660.46x = 989.47 × 587.56
  4. Step 4: Simplify right side
    660.46x = 581,372.99
  5. Step 5: Solve for x
    x = 581,372.99/660.46
  6. Step 6: Final answer
    x = 880.25

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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.