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Finding the Fourth Proportional to 660.53, 989.57 and 477.47

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Solution

The fourth proportional to 660.53, 989.57 and 477.47 is: 715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.53 : 989.57 = 477.47 : x
  2. Step 2: Convert to fraction form
    660.53/989.57 = 477.47/x
  3. Step 3: Cross multiply
    660.53x = 989.57 × 477.47
  4. Step 4: Simplify right side
    660.53x = 472,489.99
  5. Step 5: Solve for x
    x = 472,489.99/660.53
  6. Step 6: Final answer
    x = 715.32

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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.