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Finding the Fourth Proportional to 814.80, 1,124.72 and 483.20

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Solution

The fourth proportional to 814.80, 1,124.72 and 483.20 is: 666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,124.72 = 483.20 : x
  2. Step 2: Convert to fraction form
    814.80/1,124.72 = 483.20/x
  3. Step 3: Cross multiply
    814.80x = 1,124.72 × 483.20
  4. Step 4: Simplify right side
    814.80x = 543,464.70
  5. Step 5: Solve for x
    x = 543,464.70/814.80
  6. Step 6: Final answer
    x = 666.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.