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Finding the Fourth Proportional to 1,477.57, 2,216.37 and 655.85

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Solution

The fourth proportional to 1,477.57, 2,216.37 and 655.85 is: 983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.57 : 2,216.37 = 655.85 : x
  2. Step 2: Convert to fraction form
    1,477.57/2,216.37 = 655.85/x
  3. Step 3: Cross multiply
    1,477.57x = 2,216.37 × 655.85
  4. Step 4: Simplify right side
    1,477.57x = 1,453,606.26
  5. Step 5: Solve for x
    x = 1,453,606.26/1,477.57
  6. Step 6: Final answer
    x = 983.78

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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.