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Finding the Fourth Proportional to 1,477.21, 2,216.08 and 503.09

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Solution

The fourth proportional to 1,477.21, 2,216.08 and 503.09 is: 754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.21 : 2,216.08 = 503.09 : x
  2. Step 2: Convert to fraction form
    1,477.21/2,216.08 = 503.09/x
  3. Step 3: Cross multiply
    1,477.21x = 2,216.08 × 503.09
  4. Step 4: Simplify right side
    1,477.21x = 1,114,880.73
  5. Step 5: Solve for x
    x = 1,114,880.73/1,477.21
  6. Step 6: Final answer
    x = 754.72

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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.