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Finding the Fourth Proportional to 1,478.72, 2,216.50 and 553.91

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Solution

The fourth proportional to 1,478.72, 2,216.50 and 553.91 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.72 : 2,216.50 = 553.91 : x
  2. Step 2: Convert to fraction form
    1,478.72/2,216.50 = 553.91/x
  3. Step 3: Cross multiply
    1,478.72x = 2,216.50 × 553.91
  4. Step 4: Simplify right side
    1,478.72x = 1,227,729.05
  5. Step 5: Solve for x
    x = 1,227,729.05/1,478.72
  6. Step 6: Final answer
    x = 830.26

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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.